Finding the Third Proportional to 122,499 and 257,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,499 : 257,458.50 = 257,458.50 : x
2. Step 2: Convert to fraction form
   122,499/257,458.50 = 257,458.50/x
3. Step 3: Cross multiply
   122,499x = 257,458.50 × 257,458.50
4. Step 4: Simplify right side
   122,499x = 66,284,879,222.25
5. Step 5: Solve for x
   x = 66,284,879,222.25/122,499
6. Step 6: Final answer
   x = 541,105.47