Point with circumcevian triangle directly similar to a given A'B'C'

1) B'C' cuts AB at Ab and AC at Ac
2) The parallels from Ac to A'B' and from Ab to A'C' intersect at M
3) AM cuts BC at U
4) Let UVW be the inscribed triangle homothetic to A'B'C'
5) The Miquel point P of UVW is the requested point.