Finding the Third Proportional to 150.54 and 233.61

Step by Step Solution

1. Step 1: Write the proportion equation
   150.54 : 233.61 = 233.61 : x
2. Step 2: Convert to fraction form
   150.54/233.61 = 233.61/x
3. Step 3: Cross multiply
   150.54x = 233.61 × 233.61
4. Step 4: Simplify right side
   150.54x = 54,575.17
5. Step 5: Solve for x
   x = 54,575.17/150.54
6. Step 6: Final answer
   x = 362.53