Finding the Third Proportional to 57,681 and 123,988

Step by Step Solution

1. Step 1: Write the proportion equation
   57,681 : 123,988 = 123,988 : x
2. Step 2: Convert to fraction form
   57,681/123,988 = 123,988/x
3. Step 3: Cross multiply
   57,681x = 123,988 × 123,988
4. Step 4: Simplify right side
   57,681x = 15,373,024,144
5. Step 5: Solve for x
   x = 15,373,024,144/57,681
6. Step 6: Final answer
   x = 266,517.99