Finding the Third Proportional to 365.69 and 476.86

Step by Step Solution

1. Step 1: Write the proportion equation
   365.69 : 476.86 = 476.86 : x
2. Step 2: Convert to fraction form
   365.69/476.86 = 476.86/x
3. Step 3: Cross multiply
   365.69x = 476.86 × 476.86
4. Step 4: Simplify right side
   365.69x = 227,399.05
5. Step 5: Solve for x
   x = 227,399.05/365.69
6. Step 6: Final answer
   x = 621.84