Finding the Third Proportional to 213.94 and 461.72

Step by Step Solution

1. Step 1: Write the proportion equation
   213.94 : 461.72 = 461.72 : x
2. Step 2: Convert to fraction form
   213.94/461.72 = 461.72/x
3. Step 3: Cross multiply
   213.94x = 461.72 × 461.72
4. Step 4: Simplify right side
   213.94x = 213,184.20
5. Step 5: Solve for x
   x = 213,184.20/213.94
6. Step 6: Final answer
   x = 996.48