Finding the Third Proportional to 213.98 and 333.28

Step by Step Solution

1. Step 1: Write the proportion equation
   213.98 : 333.28 = 333.28 : x
2. Step 2: Convert to fraction form
   213.98/333.28 = 333.28/x
3. Step 3: Cross multiply
   213.98x = 333.28 × 333.28
4. Step 4: Simplify right side
   213.98x = 111,076.39
5. Step 5: Solve for x
   x = 111,076.39/213.98
6. Step 6: Final answer
   x = 519.09