Finding the Third Proportional to 155.38 and 227.69

Step by Step Solution

1. Step 1: Write the proportion equation
   155.38 : 227.69 = 227.69 : x
2. Step 2: Convert to fraction form
   155.38/227.69 = 227.69/x
3. Step 3: Cross multiply
   155.38x = 227.69 × 227.69
4. Step 4: Simplify right side
   155.38x = 51,841.60
5. Step 5: Solve for x
   x = 51,841.60/155.38
6. Step 6: Final answer
   x = 333.65