{adv.} or {adj. phr.} Coming; going toward a place or goal; started. * /Help was on the way./ * /The train left and Bill was on his way to New York./ * /He is well on the way to becoming a fine mechanic./
ON ONE'S WAY
Meaning of ON ONE'S WAY in English
Slang English vocab. Английский сленговый словарь. 2012