Finding the Third Proportional to 413,222 and 631,699.75

Step by Step Solution

1. Step 1: Write the proportion equation
   413,222 : 631,699.75 = 631,699.75 : x
2. Step 2: Convert to fraction form
   413,222/631,699.75 = 631,699.75/x
3. Step 3: Cross multiply
   413,222x = 631,699.75 × 631,699.75
4. Step 4: Simplify right side
   413,222x = 399,044,574,150.06
5. Step 5: Solve for x
   x = 399,044,574,150.06/413,222
6. Step 6: Final answer
   x = 965,690.53