Finding the Third Proportional to 354,404 and 771,016

Step by Step Solution

1. Step 1: Write the proportion equation
   354,404 : 771,016 = 771,016 : x
2. Step 2: Convert to fraction form
   354,404/771,016 = 771,016/x
3. Step 3: Cross multiply
   354,404x = 771,016 × 771,016
4. Step 4: Simplify right side
   354,404x = 594,465,672,256
5. Step 5: Solve for x
   x = 594,465,672,256/354,404
6. Step 6: Final answer
   x = 1,677,367.28