Finding the Third Proportional to 103,882.50 and 138,645

Step by Step Solution

1. Step 1: Write the proportion equation
   103,882.50 : 138,645 = 138,645 : x
2. Step 2: Convert to fraction form
   103,882.50/138,645 = 138,645/x
3. Step 3: Cross multiply
   103,882.50x = 138,645 × 138,645
4. Step 4: Simplify right side
   103,882.50x = 19,222,436,025
5. Step 5: Solve for x
   x = 19,222,436,025/103,882.50
6. Step 6: Final answer
   x = 185,040.18