Finding the Third Proportional to 413,193 and 631,662

Step by Step Solution

1. Step 1: Write the proportion equation
   413,193 : 631,662 = 631,662 : x
2. Step 2: Convert to fraction form
   413,193/631,662 = 631,662/x
3. Step 3: Cross multiply
   413,193x = 631,662 × 631,662
4. Step 4: Simplify right side
   413,193x = 398,996,882,244
5. Step 5: Solve for x
   x = 398,996,882,244/413,193
6. Step 6: Final answer
   x = 965,642.89