Finding the Third Proportional to 404.06 and 541.78

Step by Step Solution

1. Step 1: Write the proportion equation
   404.06 : 541.78 = 541.78 : x
2. Step 2: Convert to fraction form
   404.06/541.78 = 541.78/x
3. Step 3: Cross multiply
   404.06x = 541.78 × 541.78
4. Step 4: Simplify right side
   404.06x = 293,526.92
5. Step 5: Solve for x
   x = 293,526.92/404.06
6. Step 6: Final answer
   x = 726.44