I.to cut away in front: hence to forward a work (the metaph. being prob. taken from pioneers), Pass. to be forwarded, to advance, prosper, Hdt.
II.with neut. Adjs., τὰ πολλὰ προκόψασ᾽ having made most things ready, Eur.; τί ἂν προκόπτοις; what good would you get? id=Eur.; οὐδὲν προὔκοπτον they were making no progress, Xen.