Finding the Third Proportional to 59,549 and 123,999

Step by Step Solution

1. Step 1: Write the proportion equation
   59,549 : 123,999 = 123,999 : x
2. Step 2: Convert to fraction form
   59,549/123,999 = 123,999/x
3. Step 3: Cross multiply
   59,549x = 123,999 × 123,999
4. Step 4: Simplify right side
   59,549x = 15,375,752,001
5. Step 5: Solve for x
   x = 15,375,752,001/59,549
6. Step 6: Final answer
   x = 258,203.36