Finding the Third Proportional to 217.69 and 333.56

Step by Step Solution

1. Step 1: Write the proportion equation
   217.69 : 333.56 = 333.56 : x
2. Step 2: Convert to fraction form
   217.69/333.56 = 333.56/x
3. Step 3: Cross multiply
   217.69x = 333.56 × 333.56
4. Step 4: Simplify right side
   217.69x = 111,263.94
5. Step 5: Solve for x
   x = 111,263.94/217.69
6. Step 6: Final answer
   x = 511.12