Finding the Third Proportional to 80,157 and 113,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,157 : 113,935.50 = 113,935.50 : x
2. Step 2: Convert to fraction form
   80,157/113,935.50 = 113,935.50/x
3. Step 3: Cross multiply
   80,157x = 113,935.50 × 113,935.50
4. Step 4: Simplify right side
   80,157x = 12,981,298,160.25
5. Step 5: Solve for x
   x = 12,981,298,160.25/80,157
6. Step 6: Final answer
   x = 161,948.40