Finding the Third Proportional to 150.82 and 223.17

Step by Step Solution

1. Step 1: Write the proportion equation
   150.82 : 223.17 = 223.17 : x
2. Step 2: Convert to fraction form
   150.82/223.17 = 223.17/x
3. Step 3: Cross multiply
   150.82x = 223.17 × 223.17
4. Step 4: Simplify right side
   150.82x = 49,805.69
5. Step 5: Solve for x
   x = 49,805.69/150.82
6. Step 6: Final answer
   x = 330.23