Finding the Third Proportional to 73,732.50 and 111,202.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,732.50 : 111,202.50 = 111,202.50 : x
2. Step 2: Convert to fraction form
   73,732.50/111,202.50 = 111,202.50/x
3. Step 3: Cross multiply
   73,732.50x = 111,202.50 × 111,202.50
4. Step 4: Simplify right side
   73,732.50x = 12,365,996,006.25
5. Step 5: Solve for x
   x = 12,365,996,006.25/73,732.50
6. Step 6: Final answer
   x = 167,714.32