Finding the Third Proportional to 217.69 and 475.59

Step by Step Solution

1. Step 1: Write the proportion equation
   217.69 : 475.59 = 475.59 : x
2. Step 2: Convert to fraction form
   217.69/475.59 = 475.59/x
3. Step 3: Cross multiply
   217.69x = 475.59 × 475.59
4. Step 4: Simplify right side
   217.69x = 226,189.42
5. Step 5: Solve for x
   x = 226,189.42/217.69
6. Step 6: Final answer
   x = 1,039.06