Katelyn's balloon payment will be $127, 619.33.
We have PV (present value) of $368, 375 to be paid in 240 months (20 years, indicated by 20/6) with a mortgage at 4.65% (Annual Interest rate) to be converted into monthly interest rate (4.65/12= 0.3875%).
Using the formula:
P(Balloon) = (PV)(1+r)^n - P[((1+r)^n-1)/r)]
Balloon payment is the amount that has a term that is shorter than its amortization.