Finding the Third Proportional to 147.38 and 323.72

Step by Step Solution

1. Step 1: Write the proportion equation
   147.38 : 323.72 = 323.72 : x
2. Step 2: Convert to fraction form
   147.38/323.72 = 323.72/x
3. Step 3: Cross multiply
   147.38x = 323.72 × 323.72
4. Step 4: Simplify right side
   147.38x = 104,793.83
5. Step 5: Solve for x
   x = 104,793.83/147.38
6. Step 6: Final answer
   x = 711.07