Finding the Third Proportional to 59,629.50 and 124,098.75

Step by Step Solution

1. Step 1: Write the proportion equation
   59,629.50 : 124,098.75 = 124,098.75 : x
2. Step 2: Convert to fraction form
   59,629.50/124,098.75 = 124,098.75/x
3. Step 3: Cross multiply
   59,629.50x = 124,098.75 × 124,098.75
4. Step 4: Simplify right side
   59,629.50x = 15,400,499,751.56
5. Step 5: Solve for x
   x = 15,400,499,751.56/59,629.50
6. Step 6: Final answer
   x = 258,269.81