hyperbolize

The story

1. Proto-Indo-European*úp
2. Proto-Indo-European*upér
3. Proto-Hellenic*hupér
4. Ancient Greekῠ̔πέρ (hŭpér)
5. Ancient Greekὑπερ- (huper-)
6. Proto-Indo-European*gʷelH-
7. Proto-Hellenic*gʷəlnō
8. Ancient Greekβάλλω (bállō)
9. Ancient Greekὑπερβάλλω (huperbállō)
10. Ancient Greekὑπερβολή (huperbolḗ)
11. Latinhyperbolē
12. Middle Englishiperbole
13. Englishhyperbole
14. English todayhyperbolize

From hyperbole + -ize.