Finding the Third Proportional to 213.33 and 331.45

Step by Step Solution

1. Step 1: Write the proportion equation
   213.33 : 331.45 = 331.45 : x
2. Step 2: Convert to fraction form
   213.33/331.45 = 331.45/x
3. Step 3: Cross multiply
   213.33x = 331.45 × 331.45
4. Step 4: Simplify right side
   213.33x = 109,861.17
5. Step 5: Solve for x
   x = 109,861.17/213.33
6. Step 6: Final answer
   x = 514.99