Finding the Third Proportional to 150.69 and 233.27

Step by Step Solution

1. Step 1: Write the proportion equation
   150.69 : 233.27 = 233.27 : x
2. Step 2: Convert to fraction form
   150.69/233.27 = 233.27/x
3. Step 3: Cross multiply
   150.69x = 233.27 × 233.27
4. Step 4: Simplify right side
   150.69x = 54,415.13
5. Step 5: Solve for x
   x = 54,415.13/150.69
6. Step 6: Final answer
   x = 361.11