Finding the Third Proportional to 57,719 and 123,651

Step by Step Solution

1. Step 1: Write the proportion equation
   57,719 : 123,651 = 123,651 : x
2. Step 2: Convert to fraction form
   57,719/123,651 = 123,651/x
3. Step 3: Cross multiply
   57,719x = 123,651 × 123,651
4. Step 4: Simplify right side
   57,719x = 15,289,569,801
5. Step 5: Solve for x
   x = 15,289,569,801/57,719
6. Step 6: Final answer
   x = 264,896.65