Finding the Third Proportional to 226.69 and 472.31

Step by Step Solution

1. Step 1: Write the proportion equation
   226.69 : 472.31 = 472.31 : x
2. Step 2: Convert to fraction form
   226.69/472.31 = 472.31/x
3. Step 3: Cross multiply
   226.69x = 472.31 × 472.31
4. Step 4: Simplify right side
   226.69x = 223,079.10
5. Step 5: Solve for x
   x = 223,079.10/226.69
6. Step 6: Final answer
   x = 984.08