Finding the Third Proportional to 322,404 and 497,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   322,404 : 497,131.50 = 497,131.50 : x
2. Step 2: Convert to fraction form
   322,404/497,131.50 = 497,131.50/x
3. Step 3: Cross multiply
   322,404x = 497,131.50 × 497,131.50
4. Step 4: Simplify right side
   322,404x = 247,139,728,292.25
5. Step 5: Solve for x
   x = 247,139,728,292.25/322,404
6. Step 6: Final answer
   x = 766,552.92