Finding the Third Proportional to 53,414 and 123,651

Step by Step Solution

1. Step 1: Write the proportion equation
   53,414 : 123,651 = 123,651 : x
2. Step 2: Convert to fraction form
   53,414/123,651 = 123,651/x
3. Step 3: Cross multiply
   53,414x = 123,651 × 123,651
4. Step 4: Simplify right side
   53,414x = 15,289,569,801
5. Step 5: Solve for x
   x = 15,289,569,801/53,414
6. Step 6: Final answer
   x = 286,246.49