Given the following curve data, What is the P$.$I. Station?

Delta $=45{15}^{\text{'}}{15}^{\text{'}\text{'}}$

$R={500\mathrm{.}00}^{\text{'}}$

$T={208\mathrm{.}41}^{\text{'}}$

$A=394\mathrm{.}92$

$LC={384\mathrm{.}73}^{\text{'}}$

P$.$T$.$ Sta. $31+86\mathrm{.}51$

$27+91\mathrm{.}59$

$20+00\mathrm{.}00$

$30+00\mathrm{.}00$

$29+42\mathrm{.}12$