Find the centroid of the region bounded by the xy-plane, the cylinder $x^2 + y^2 = 169$, and the $\frac{x}{13} + \frac{z}{14} = 1$. Assume the density of $\delta(x, y, z) = 1$.
(Use symbolic notation and fractions where needed. Express numbers in exact form. Give your answer as point coordinates in the form $(*, *, *)$.)
$(x, y, z) = (1, \sqrt{168}, 0)$