Finding the Third Proportional to 404 and 757.31

Step by Step Solution

1. Step 1: Write the proportion equation
   404 : 757.31 = 757.31 : x
2. Step 2: Convert to fraction form
   404/757.31 = 757.31/x
3. Step 3: Cross multiply
   404x = 757.31 × 757.31
4. Step 4: Simplify right side
   404x = 573,522.22
5. Step 5: Solve for x
   x = 573,522.22/404
6. Step 6: Final answer
   x = 1,419.61