engagement

ɪnˈɡeɪdʒm(ə)nt
ɛnˈɡeɪdʒm(ə)nt

noun

a formal agreement to get married.

she’d broken off her engagement to Paul

betrothal,betrothment,marriage contract,plighting of one’s troth,espousal,affiance,affiancing,handfast,sponsalia,subarrhation