Finding the Third Proportional to 404.81 and 476.06

Step by Step Solution

1. Step 1: Write the proportion equation
   404.81 : 476.06 = 476.06 : x
2. Step 2: Convert to fraction form
   404.81/476.06 = 476.06/x
3. Step 3: Cross multiply
   404.81x = 476.06 × 476.06
4. Step 4: Simplify right side
   404.81x = 226,635.50
5. Step 5: Solve for x
   x = 226,635.50/404.81
6. Step 6: Final answer
   x = 559.85