Finding the Third Proportional to 416.81 and 477.56

Step by Step Solution

1. Step 1: Write the proportion equation
   416.81 : 477.56 = 477.56 : x
2. Step 2: Convert to fraction form
   416.81/477.56 = 477.56/x
3. Step 3: Cross multiply
   416.81x = 477.56 × 477.56
4. Step 4: Simplify right side
   416.81x = 228,065.94
5. Step 5: Solve for x
   x = 228,065.94/416.81
6. Step 6: Final answer
   x = 547.17