Greek.
There is no such thing as 1/3 in ancestry; all fractions have denominators which are powers of 2. 😛
As for me, my father's ancestors came from Barcelona originally. In 1492, they were expelled from Spain by Ferdinand and Isabella for being Jewish and settled in Salonika. Many generations later, my paternal grandparents were born in Salonika when it was still part of the Ottoman Empire in the 1880's. They came to New York in 1910. (The city of their birth is now part of Greece and now named Thessaloniki.)
My mother's parents were born in the 1890's in the town of Kolomeia which was then in the province of Galicia of the Empire of Austria-Hungary. Her father and mother came to New York in 1910 and 1914 respectively. (That town is now part of Ukraine. It was, at various times, ruled by Poland, Russia, Germany, and Russia again.)
Correction; Thessaloniki was Greek AGES before the Ottomans overran Greece. Your ancestors entered while it was occupied, but it was Greek, just had some bully squatters on it.
I know, I'm from that region also. Unfortunately we never got Northern Greece back from those aggressors ---- I still say Constantinople, not Istanbul, yeah, yeah, I know the song,
since it was Greece centuries before the Ottoman Empire got too powerful & greedy.
🙁
Had family there too, many escaped to Thessaloniki within the past few decades.
Our Greek Orthodox Patriarchate is still in (Constantinople). We're a small population and the discrimination is fierce. It's just not on the front page
since we're a smaller number and Turkey is of course
always strategically placed ---- since it's occupying Northern Greece ----
So Turkey lucked out sitting on Northern Greece between the Cold War, with access to Russia in demand
and now with Turkey being a big deal since it's a
secular Muslim country, etc.,
so we're lucky if we can even someday get back the lands just recently taken from us in Cyprus.
(This is one reason why Constantinople/N. Greece was so valuable, it has such a key position between East & West).
Turks invaded Cyprus in 1974 !! ---
That was a recent aggression, and nobody practically knows any of this is going on, because Turkey has such political pull.
Oh well. Is it worth a war? No, the loss of life would be too high on either side, any loss of life is too high,
and the funny thing is there was so much (interbreeding, stolen Greek children, etc) that a lot of Turks are in good part Greek and don't even know it.
And yes, then I might be 1/20th Turkish, who knows.
I love stories about the quirks of grandparents. 
Ireland 
Scotland 
and Switzerland 
