Finding the Third Proportional to 57,717 and 123,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,717 : 123,646.50 = 123,646.50 : x
2. Step 2: Convert to fraction form
   57,717/123,646.50 = 123,646.50/x
3. Step 3: Cross multiply
   57,717x = 123,646.50 × 123,646.50
4. Step 4: Simplify right side
   57,717x = 15,288,456,962.25
5. Step 5: Solve for x
   x = 15,288,456,962.25/57,717
6. Step 6: Final answer
   x = 264,886.55