Finding the Third Proportional to 212.72 and 322.27

Step by Step Solution

1. Step 1: Write the proportion equation
   212.72 : 322.27 = 322.27 : x
2. Step 2: Convert to fraction form
   212.72/322.27 = 322.27/x
3. Step 3: Cross multiply
   212.72x = 322.27 × 322.27
4. Step 4: Simplify right side
   212.72x = 103,855.13
5. Step 5: Solve for x
   x = 103,855.13/212.72
6. Step 6: Final answer
   x = 488.23