Finding the Third Proportional to 91.34 and 213.15

Step by Step Solution

1. Step 1: Write the proportion equation
   91.34 : 213.15 = 213.15 : x
2. Step 2: Convert to fraction form
   91.34/213.15 = 213.15/x
3. Step 3: Cross multiply
   91.34x = 213.15 × 213.15
4. Step 4: Simplify right side
   91.34x = 45,433.92
5. Step 5: Solve for x
   x = 45,433.92/91.34
6. Step 6: Final answer
   x = 497.44