Finding the Third Proportional to 85,728.50 and 133,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,728.50 : 133,501.50 = 133,501.50 : x
2. Step 2: Convert to fraction form
   85,728.50/133,501.50 = 133,501.50/x
3. Step 3: Cross multiply
   85,728.50x = 133,501.50 × 133,501.50
4. Step 4: Simplify right side
   85,728.50x = 17,822,650,502.25
5. Step 5: Solve for x
   x = 17,822,650,502.25/85,728.50
6. Step 6: Final answer
   x = 207,896.45