Finding the Third Proportional to 59,609.50 and 124,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,609.50 : 124,119.50 = 124,119.50 : x
2. Step 2: Convert to fraction form
   59,609.50/124,119.50 = 124,119.50/x
3. Step 3: Cross multiply
   59,609.50x = 124,119.50 × 124,119.50
4. Step 4: Simplify right side
   59,609.50x = 15,405,650,280.25
5. Step 5: Solve for x
   x = 15,405,650,280.25/59,609.50
6. Step 6: Final answer
   x = 258,442.87