Finding the Third Proportional to 141.38 and 213.56

Step by Step Solution

1. Step 1: Write the proportion equation
   141.38 : 213.56 = 213.56 : x
2. Step 2: Convert to fraction form
   141.38/213.56 = 213.56/x
3. Step 3: Cross multiply
   141.38x = 213.56 × 213.56
4. Step 4: Simplify right side
   141.38x = 45,608.94
5. Step 5: Solve for x
   x = 45,608.94/141.38
6. Step 6: Final answer
   x = 322.61