Finding the Third Proportional to 64,842.50 and 140,755

Step by Step Solution

1. Step 1: Write the proportion equation
   64,842.50 : 140,755 = 140,755 : x
2. Step 2: Convert to fraction form
   64,842.50/140,755 = 140,755/x
3. Step 3: Cross multiply
   64,842.50x = 140,755 × 140,755
4. Step 4: Simplify right side
   64,842.50x = 19,811,970,025
5. Step 5: Solve for x
   x = 19,811,970,025/64,842.50
6. Step 6: Final answer
   x = 305,539.89