Two chords of a circle, $$\overline{AB}$$ and $$\overline{CD}$$, meet outside the circle at the point P. If $$m (\overline{AP}) = 200 mm, m(\overline{AB}) = 120 mm$$, and $$m(\overline{CP}) = 160 mm$$, what is the length of $$\overline{CD}$$?

A

100 mm

B

75 mm

C

60 mm

D

150 mm