Finding the Third Proportional to 320,967 and 497,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   320,967 : 497,002.50 = 497,002.50 : x
2. Step 2: Convert to fraction form
   320,967/497,002.50 = 497,002.50/x
3. Step 3: Cross multiply
   320,967x = 497,002.50 × 497,002.50
4. Step 4: Simplify right side
   320,967x = 247,011,485,006.25
5. Step 5: Solve for x
   x = 247,011,485,006.25/320,967
6. Step 6: Final answer
   x = 769,585.30