Finding the Third Proportional to 413,851 and 632,810

Step by Step Solution

1. Step 1: Write the proportion equation
   413,851 : 632,810 = 632,810 : x
2. Step 2: Convert to fraction form
   413,851/632,810 = 632,810/x
3. Step 3: Cross multiply
   413,851x = 632,810 × 632,810
4. Step 4: Simplify right side
   413,851x = 400,448,496,100
5. Step 5: Solve for x
   x = 400,448,496,100/413,851
6. Step 6: Final answer
   x = 967,615.15