Finding the Third Proportional to 71,139 and 106,522.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,139 : 106,522.50 = 106,522.50 : x
2. Step 2: Convert to fraction form
   71,139/106,522.50 = 106,522.50/x
3. Step 3: Cross multiply
   71,139x = 106,522.50 × 106,522.50
4. Step 4: Simplify right side
   71,139x = 11,347,043,006.25
5. Step 5: Solve for x
   x = 11,347,043,006.25/71,139
6. Step 6: Final answer
   x = 159,505.24