Finding the Third Proportional to 150.78 and 225.61

Step by Step Solution

1. Step 1: Write the proportion equation
   150.78 : 225.61 = 225.61 : x
2. Step 2: Convert to fraction form
   150.78/225.61 = 225.61/x
3. Step 3: Cross multiply
   150.78x = 225.61 × 225.61
4. Step 4: Simplify right side
   150.78x = 50,899.59
5. Step 5: Solve for x
   x = 50,899.59/150.78
6. Step 6: Final answer
   x = 337.57