Finding the Third Proportional to 59,414 and 123,727

Step by Step Solution

1. Step 1: Write the proportion equation
   59,414 : 123,727 = 123,727 : x
2. Step 2: Convert to fraction form
   59,414/123,727 = 123,727/x
3. Step 3: Cross multiply
   59,414x = 123,727 × 123,727
4. Step 4: Simplify right side
   59,414x = 15,308,370,529
5. Step 5: Solve for x
   x = 15,308,370,529/59,414
6. Step 6: Final answer
   x = 257,655.95