Finding the Third Proportional to 80,909.25 and 172,024.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,909.25 : 172,024.50 = 172,024.50 : x
2. Step 2: Convert to fraction form
   80,909.25/172,024.50 = 172,024.50/x
3. Step 3: Cross multiply
   80,909.25x = 172,024.50 × 172,024.50
4. Step 4: Simplify right side
   80,909.25x = 29,592,428,600.25
5. Step 5: Solve for x
   x = 29,592,428,600.25/80,909.25
6. Step 6: Final answer
   x = 365,748.40