Finding the Third Proportional to 59,802 and 123,498

Step by Step Solution

1. Step 1: Write the proportion equation
   59,802 : 123,498 = 123,498 : x
2. Step 2: Convert to fraction form
   59,802/123,498 = 123,498/x
3. Step 3: Cross multiply
   59,802x = 123,498 × 123,498
4. Step 4: Simplify right side
   59,802x = 15,251,756,004
5. Step 5: Solve for x
   x = 15,251,756,004/59,802
6. Step 6: Final answer
   x = 255,037.56