Finding the Third Proportional to 80,782.50 and 172,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,782.50 : 172,561.50 = 172,561.50 : x
2. Step 2: Convert to fraction form
   80,782.50/172,561.50 = 172,561.50/x
3. Step 3: Cross multiply
   80,782.50x = 172,561.50 × 172,561.50
4. Step 4: Simplify right side
   80,782.50x = 29,777,471,282.25
5. Step 5: Solve for x
   x = 29,777,471,282.25/80,782.50
6. Step 6: Final answer
   x = 368,612.90