Finding the Third Proportional to 404.34 and 577.78

Step by Step Solution

1. Step 1: Write the proportion equation
   404.34 : 577.78 = 577.78 : x
2. Step 2: Convert to fraction form
   404.34/577.78 = 577.78/x
3. Step 3: Cross multiply
   404.34x = 577.78 × 577.78
4. Step 4: Simplify right side
   404.34x = 333,831.17
5. Step 5: Solve for x
   x = 333,831.17/404.34
6. Step 6: Final answer
   x = 825.61