Finding the Third Proportional to 220.50 and 472.31

Step by Step Solution

1. Step 1: Write the proportion equation
   220.50 : 472.31 = 472.31 : x
2. Step 2: Convert to fraction form
   220.50/472.31 = 472.31/x
3. Step 3: Cross multiply
   220.50x = 472.31 × 472.31
4. Step 4: Simplify right side
   220.50x = 223,079.10
5. Step 5: Solve for x
   x = 223,079.10/220.50
6. Step 6: Final answer
   x = 1,011.70