Finding the Third Proportional to 415,965 and 631,723.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,965 : 631,723.50 = 631,723.50 : x
2. Step 2: Convert to fraction form
   415,965/631,723.50 = 631,723.50/x
3. Step 3: Cross multiply
   415,965x = 631,723.50 × 631,723.50
4. Step 4: Simplify right side
   415,965x = 399,074,580,452.25
5. Step 5: Solve for x
   x = 399,074,580,452.25/415,965
6. Step 6: Final answer
   x = 959,394.61