Finding the Third Proportional to 404.72 and 646.03

Step by Step Solution

1. Step 1: Write the proportion equation
   404.72 : 646.03 = 646.03 : x
2. Step 2: Convert to fraction form
   404.72/646.03 = 646.03/x
3. Step 3: Cross multiply
   404.72x = 646.03 × 646.03
4. Step 4: Simplify right side
   404.72x = 417,356.38
5. Step 5: Solve for x
   x = 417,356.38/404.72
6. Step 6: Final answer
   x = 1,031.23