Finding the Third Proportional to 267,132 and 416,016

Step by Step Solution

1. Step 1: Write the proportion equation
   267,132 : 416,016 = 416,016 : x
2. Step 2: Convert to fraction form
   267,132/416,016 = 416,016/x
3. Step 3: Cross multiply
   267,132x = 416,016 × 416,016
4. Step 4: Simplify right side
   267,132x = 173,069,312,256
5. Step 5: Solve for x
   x = 173,069,312,256/267,132
6. Step 6: Final answer
   x = 647,879.37