Third throw landing farther out than the first

Three darts are thrown at a board with identical, independent skill, so their distances from the bullseye are i.i.d. continuous random variables. Given that dart two landed farther out than dart one, find the chance that dart three also lands farther out than dart one.

$2/3$. Only the ranking of the three distances matters, and all $6$ orderings are equally likely. Of the $3$ orderings with $D_2>D_1$, the third exceeds the first in $2$ ($D_1<D_2<D_3$ and $D_1<D_3<D_2$).