Finding the Third Proportional to 147.38 and 222.96

Step by Step Solution

1. Step 1: Write the proportion equation
   147.38 : 222.96 = 222.96 : x
2. Step 2: Convert to fraction form
   147.38/222.96 = 222.96/x
3. Step 3: Cross multiply
   147.38x = 222.96 × 222.96
4. Step 4: Simplify right side
   147.38x = 49,711.58
5. Step 5: Solve for x
   x = 49,711.58/147.38
6. Step 6: Final answer
   x = 337.31