Finding the Third Proportional to 404.06 and 685.03

Step by Step Solution

1. Step 1: Write the proportion equation
   404.06 : 685.03 = 685.03 : x
2. Step 2: Convert to fraction form
   404.06/685.03 = 685.03/x
3. Step 3: Cross multiply
   404.06x = 685.03 × 685.03
4. Step 4: Simplify right side
   404.06x = 469,267.81
5. Step 5: Solve for x
   x = 469,267.81/404.06
6. Step 6: Final answer
   x = 1,161.37