Finding the Third Proportional to 57,852 and 86,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,852 : 86,542.50 = 86,542.50 : x
2. Step 2: Convert to fraction form
   57,852/86,542.50 = 86,542.50/x
3. Step 3: Cross multiply
   57,852x = 86,542.50 × 86,542.50
4. Step 4: Simplify right side
   57,852x = 7,489,604,306.25
5. Step 5: Solve for x
   x = 7,489,604,306.25/57,852
6. Step 6: Final answer
   x = 129,461.46