Finding the Third Proportional to 59,518 and 123,974

Step by Step Solution

1. Step 1: Write the proportion equation
   59,518 : 123,974 = 123,974 : x
2. Step 2: Convert to fraction form
   59,518/123,974 = 123,974/x
3. Step 3: Cross multiply
   59,518x = 123,974 × 123,974
4. Step 4: Simplify right side
   59,518x = 15,369,552,676
5. Step 5: Solve for x
   x = 15,369,552,676/59,518
6. Step 6: Final answer
   x = 258,233.69