Finding the Third Proportional to 413,920 and 632,910

Step by Step Solution

1. Step 1: Write the proportion equation
   413,920 : 632,910 = 632,910 : x
2. Step 2: Convert to fraction form
   413,920/632,910 = 632,910/x
3. Step 3: Cross multiply
   413,920x = 632,910 × 632,910
4. Step 4: Simplify right side
   413,920x = 400,575,068,100
5. Step 5: Solve for x
   x = 400,575,068,100/413,920
6. Step 6: Final answer
   x = 967,759.63