κατατυγχάνω

A. hit one's mark, reach the object of . . , [τῆς ἐλπίδος] Demad. 6,cf. Diocl.Fr. 138; τῆς στρατείας D.S. 13.3; τῆς σπουδῆς Ael. NA 3.25.
2. abs., to be lucky or successful, opp. ἐξαμαρτάνω, D. 18.178; τὴν θέσιν εὔχεσθαι δεῖ κατατυγχάνειν as to the situation of the city, one must hope to be successful, Arist. Pol. 1330a37.
3. c. dat., fall to the lot of, Procop. Arc. 4.
4. Pass., in abs. sense, τὸ κ. Euryph. ap. Stob. 4.39.27.
II. to be in office at the time, ὁ κ. ἀρτυτήρ Test.Epict. 4.37, cf. IG 12(3).249.36 (Anaphe).
Liddell, Scott & Jones
A Greek-English Lexicon, 1940
An open-access project