Finding the Third Proportional to 213.05 and 447.61

Step by Step Solution

1. Step 1: Write the proportion equation
   213.05 : 447.61 = 447.61 : x
2. Step 2: Convert to fraction form
   213.05/447.61 = 447.61/x
3. Step 3: Cross multiply
   213.05x = 447.61 × 447.61
4. Step 4: Simplify right side
   213.05x = 200,354.15
5. Step 5: Solve for x
   x = 200,354.15/213.05
6. Step 6: Final answer
   x = 940.42