Finding the Third Proportional to 71,671 and 111,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,671 : 111,202.50 = 111,202.50 : x
2. Step 2: Convert to fraction form
   71,671/111,202.50 = 111,202.50/x
3. Step 3: Cross multiply
   71,671x = 111,202.50 × 111,202.50
4. Step 4: Simplify right side
   71,671x = 12,365,996,006.25
5. Step 5: Solve for x
   x = 12,365,996,006.25/71,671
6. Step 6: Final answer
   x = 172,538.35