προσστείχω
From LSJ
Νέµουσι δ' οἴκους καὶ τὰ ναυστολούµενα ἔσω δόµων σῴζουσιν, οὐδ' ἐρηµίᾳ γυναικὸς οἶκος εὐπινὴς οὐδ' ὄλβιος → They manage households, and save what is brought by sea within the home, and no house deprived of a woman can be tidy and prosperous
English (LSJ)
A go or come towards, προσέστῐχε μακρὸν Ὄλυμπον Od.20.73; δεῦρο π. S.OC30, cf. 320, OT79 (in codd. of S. always προστ-).
German (Pape)
[Seite 780] hinzugehen, προσέστιχε μακρὸν Ὄλυμπον, Od. 20, 73, sie schritt auf den Olymp zu.