Finding the Third Proportional to 122,655.50 and 253,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,655.50 : 253,147.50 = 253,147.50 : x
2. Step 2: Convert to fraction form
   122,655.50/253,147.50 = 253,147.50/x
3. Step 3: Cross multiply
   122,655.50x = 253,147.50 × 253,147.50
4. Step 4: Simplify right side
   122,655.50x = 64,083,656,756.25
5. Step 5: Solve for x
   x = 64,083,656,756.25/122,655.50
6. Step 6: Final answer
   x = 522,468.68