Finding the Third Proportional to 150.82 and 224.33

Step by Step Solution

1. Step 1: Write the proportion equation
   150.82 : 224.33 = 224.33 : x
2. Step 2: Convert to fraction form
   150.82/224.33 = 224.33/x
3. Step 3: Cross multiply
   150.82x = 224.33 × 224.33
4. Step 4: Simplify right side
   150.82x = 50,324.86
5. Step 5: Solve for x
   x = 50,324.86/150.82
6. Step 6: Final answer
   x = 333.67