Finding the Third Proportional to 57,605 and 82,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,605 : 82,375.50 = 82,375.50 : x
2. Step 2: Convert to fraction form
   57,605/82,375.50 = 82,375.50/x
3. Step 3: Cross multiply
   57,605x = 82,375.50 × 82,375.50
4. Step 4: Simplify right side
   57,605x = 6,785,723,000.25
5. Step 5: Solve for x
   x = 6,785,723,000.25/57,605
6. Step 6: Final answer
   x = 117,797.47