Where does “trágyák” come from?

trágyák (Hungarian) comes from Hungarian trágya, from Medieval Latin tragea, from Latin tragema, from Ancient Greek τρώγω, from Proto-Indo-European terh₁- — to rub, turn; to drill, pierce.

Ancestry of “trágyák”, step by step

Step	Language	Word	Meaning
1	Hungarian	trágya	dung, manure
2	Medieval Latin	tragea	seasoning
3	Latin	tragema	sweetmeat, dessert, confectionery
4	Ancient Greek	τρώγω	I chew, gnaw; I eat
5	Proto-Indo-European	terh₁-	to rub, turn; to drill, pierce

Every word from Proto-Indo-European terh₁- →Every word from Ancient Greek τρώγω →Every word from Latin tragema →