Lexical Definition

‎προκόπτω‎ prokóptō (prok-op'-to) to advance G:V
from ‎πρό‎ and ‎κόπτω‎

increase, proceed, profit, be far spent, wax.

Usage: 4 forms in 6 verses
Form Translated As     In Verse(s)
προκόψουσιν they will advance 2Tim.3.9
they will lead 2Tim.2.16
will advance 2Tim.3.13
προέκοψεν is nearly over Rom.13.12
προέκοπτον I was advancing Gal.1.14
προέκοπτεν was continuing to advance Luke.2.52

Abbott-Smith

** προ-κόπτω, [in Sm.: Ps 44 (45):5**;]
to cut forward a way, forward, advance, in cl. trans. with neut. adj., as οὐδὲν π., τὰ πολλὰ π. In late writers (Polyb., al.), wholly intrans., to advance, progress: of time, Ro 13:12. Metaph., Lk 2:52, Ga 1:14, II Ti 2:16 3:9, 13.†

Abbott-Smith References

Book Refs
Psalms 45:5*
Luke 2:52
Romans 13:12
Galatians 1:14
2 Timothy 2:16 · 3:9 · 3:13

Liddell-Scott-Jones

προκόπτω,

cut one's way forward, only metaphorically, π. διὰ τῆς λεωφόρου advance by the high-road, [Refs 4th c.BC+]:—passive in [Refs 5th c.BC+], advance, prosper, ἀνωτέρω ὀδὲν τῶν πρηγμάτων προκοπτομένων [Refs]

__II with neuter adjectives, προκόψομεν οὐδέν shall make no progress, advance not at all. [Refs 7th c.BC+]; τὰ πολλὰ προκόψασ᾽ having prepared most of the way, [Refs 5th c.BC+]; τί ἂν προκόπτοι; what good would you get? [Refs]; οὐδὲν προὔκοπτον εἰς.. they made no progress towards.., [NT+5th c.BC+]
__II.2 with genitive of things, τοῦ ναυτικοῦ μέγα μέρος προκόψαντες having made improvements in their navy to a great extent, [Refs 5th c.BC+]; ἡμῶν προκοπτόντων τῆς ἀρχῆς ἐκείνοις since we promote the increase of their empire, [Refs]; ἐπὶ πλεῖον π. ἀσεβείας having advanced further in impiety, [NT+2nd c.BC+]
__II.3 especially in Philos., of moreal and intellectual progress, [Refs 4th c.BC+]; προκοπτούσης τῆς θεραπείας if the treatment succeeds, [Refs 3rd c.BC+]; εἴωθε προκόπτειν .. ἀγωγή the treatment is usually successful, [Refs 1st c.AD+]; -κεκοφυίας τῆς νόσου as the disease improves, [Refs 1st c.AD+]
__II.3.b of Time, προκοπτούσης ὁδοῦ as the journey advanced, [Refs 2nd c.AD+]is far spent, [NT+1st c.AD+]; to be advanced in years, τῇ ἡλικίᾳ [Refs 2nd c.BC+]; μὲν -κέκοφεν, δὲ νέος ἐστίν [Refs 4th c.BC+]

LSJ Scripture Refs: Gal.1.14Luke.2.522Tim.2.16Rom.13.12