Finding the Third Proportional to 409,365 and 631,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,365 : 631,543.50 = 631,543.50 : x
2. Step 2: Convert to fraction form
   409,365/631,543.50 = 631,543.50/x
3. Step 3: Cross multiply
   409,365x = 631,543.50 × 631,543.50
4. Step 4: Simplify right side
   409,365x = 398,847,192,392.25
5. Step 5: Solve for x
   x = 398,847,192,392.25/409,365
6. Step 6: Final answer
   x = 974,307.02