Finding the Third Proportional to 57,657 and 86,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,657 : 86,485.50 = 86,485.50 : x
2. Step 2: Convert to fraction form
   57,657/86,485.50 = 86,485.50/x
3. Step 3: Cross multiply
   57,657x = 86,485.50 × 86,485.50
4. Step 4: Simplify right side
   57,657x = 7,479,741,710.25
5. Step 5: Solve for x
   x = 7,479,741,710.25/57,657
6. Step 6: Final answer
   x = 129,728.25