Finding the Third Proportional to 57,777.75 and 123,711.38

Step by Step Solution

1. Step 1: Write the proportion equation
   57,777.75 : 123,711.38 = 123,711.38 : x
2. Step 2: Convert to fraction form
   57,777.75/123,711.38 = 123,711.38/x
3. Step 3: Cross multiply
   57,777.75x = 123,711.38 × 123,711.38
4. Step 4: Simplify right side
   57,777.75x = 15,304,504,304.39
5. Step 5: Solve for x
   x = 15,304,504,304.39/57,777.75
6. Step 6: Final answer
   x = 264,885.78