Finding the Third Proportional to 96.94 and 213.56

Step by Step Solution

1. Step 1: Write the proportion equation
   96.94 : 213.56 = 213.56 : x
2. Step 2: Convert to fraction form
   96.94/213.56 = 213.56/x
3. Step 3: Cross multiply
   96.94x = 213.56 × 213.56
4. Step 4: Simplify right side
   96.94x = 45,608.94
5. Step 5: Solve for x
   x = 45,608.94/96.94
6. Step 6: Final answer
   x = 470.50