Answer
$\dfrac{x^2}{3763600}+\dfrac{y^2}{3753196}=1$
Work Step by Step
Since, $u-v=2c$ ... (1)
$v=1728+110=1838$
$u=1728+314=2042$
Equation (1) become, $2c=2042-1838$
or, $c=102$
$c+v=a$ ... (2)
Plug the values for $c=102$ and $v=1838$, in equation (2) we have $a=102+1838=1940$
Also, $b=\sqrt {1940^2-102^2}=1937$
Hence,
$\dfrac{x^2}{3763600}+\dfrac{y^2}{3753196}=1$