Finding the Third Proportional to 89,162.50 and 138,505

Step by Step Solution

1. Step 1: Write the proportion equation
   89,162.50 : 138,505 = 138,505 : x
2. Step 2: Convert to fraction form
   89,162.50/138,505 = 138,505/x
3. Step 3: Cross multiply
   89,162.50x = 138,505 × 138,505
4. Step 4: Simplify right side
   89,162.50x = 19,183,635,025
5. Step 5: Solve for x
   x = 19,183,635,025/89,162.50
6. Step 6: Final answer
   x = 215,153.62