Finding the Third Proportional to 59,609 and 124,114

Step by Step Solution

1. Step 1: Write the proportion equation
   59,609 : 124,114 = 124,114 : x
2. Step 2: Convert to fraction form
   59,609/124,114 = 124,114/x
3. Step 3: Cross multiply
   59,609x = 124,114 × 124,114
4. Step 4: Simplify right side
   59,609x = 15,404,284,996
5. Step 5: Solve for x
   x = 15,404,284,996/59,609
6. Step 6: Final answer
   x = 258,422.13