Finding the Third Proportional to 147.38 and 225.56

Step by Step Solution

1. Step 1: Write the proportion equation
   147.38 : 225.56 = 225.56 : x
2. Step 2: Convert to fraction form
   147.38/225.56 = 225.56/x
3. Step 3: Cross multiply
   147.38x = 225.56 × 225.56
4. Step 4: Simplify right side
   147.38x = 50,878.44
5. Step 5: Solve for x
   x = 50,878.44/147.38
6. Step 6: Final answer
   x = 345.23