Finding the Third Proportional to 98.91 and 223.27

Step by Step Solution

1. Step 1: Write the proportion equation
   98.91 : 223.27 = 223.27 : x
2. Step 2: Convert to fraction form
   98.91/223.27 = 223.27/x
3. Step 3: Cross multiply
   98.91x = 223.27 × 223.27
4. Step 4: Simplify right side
   98.91x = 49,847.54
5. Step 5: Solve for x
   x = 49,847.54/98.91
6. Step 6: Final answer
   x = 503.99