Finding the Third Proportional to 217.25 and 472.89

Step by Step Solution

1. Step 1: Write the proportion equation
   217.25 : 472.89 = 472.89 : x
2. Step 2: Convert to fraction form
   217.25/472.89 = 472.89/x
3. Step 3: Cross multiply
   217.25x = 472.89 × 472.89
4. Step 4: Simplify right side
   217.25x = 223,625.54
5. Step 5: Solve for x
   x = 223,625.54/217.25
6. Step 6: Final answer
   x = 1,029.35