Finding the Third Proportional to 59,496 and 123,920

Step by Step Solution

1. Step 1: Write the proportion equation
   59,496 : 123,920 = 123,920 : x
2. Step 2: Convert to fraction form
   59,496/123,920 = 123,920/x
3. Step 3: Cross multiply
   59,496x = 123,920 × 123,920
4. Step 4: Simplify right side
   59,496x = 15,356,166,400
5. Step 5: Solve for x
   x = 15,356,166,400/59,496
6. Step 6: Final answer
   x = 258,104.18