heading toward vs midway

heading toward

midway

adv
  • Halfway; equidistant from either end point; in the middle between two points 

noun
  • The middle; the midst. 

  • The part of a fair or circus where rides, entertainments, and booths are concentrated. 

  • The widest aisle in the middle of an industrial complex (such as railroad shops or a coach yard) along which various buildings are aligned 

  • A middle way or manner; a mean or middle course between extremes. 

adj
  • Being in the middle of the way or distance; middle. 

How often have the words heading toward and midway occurred in a corpus of books? (source: Google Ngram Viewer )