Finding the Third Proportional to 404.06 and 647.06

Step by Step Solution

1. Step 1: Write the proportion equation
   404.06 : 647.06 = 647.06 : x
2. Step 2: Convert to fraction form
   404.06/647.06 = 647.06/x
3. Step 3: Cross multiply
   404.06x = 647.06 × 647.06
4. Step 4: Simplify right side
   404.06x = 418,689.88
5. Step 5: Solve for x
   x = 418,689.88/404.06
6. Step 6: Final answer
   x = 1,036.20