Finding the Third Proportional to 413,931 and 632,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,931 : 632,776.50 = 632,776.50 : x
2. Step 2: Convert to fraction form
   413,931/632,776.50 = 632,776.50/x
3. Step 3: Cross multiply
   413,931x = 632,776.50 × 632,776.50
4. Step 4: Simplify right side
   413,931x = 400,406,098,952.25
5. Step 5: Solve for x
   x = 400,406,098,952.25/413,931
6. Step 6: Final answer
   x = 967,325.71