Finding the Third Proportional to 410,146.50 and 548,762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   410,146.50 : 548,762.25 = 548,762.25 : x
2. Step 2: Convert to fraction form
   410,146.50/548,762.25 = 548,762.25/x
3. Step 3: Cross multiply
   410,146.50x = 548,762.25 × 548,762.25
4. Step 4: Simplify right side
   410,146.50x = 301,140,007,025.06
5. Step 5: Solve for x
   x = 301,140,007,025.06/410,146.50
6. Step 6: Final answer
   x = 734,225.47