Finding the Third Proportional to 98.72 and 216.42

Step by Step Solution

1. Step 1: Write the proportion equation
   98.72 : 216.42 = 216.42 : x
2. Step 2: Convert to fraction form
   98.72/216.42 = 216.42/x
3. Step 3: Cross multiply
   98.72x = 216.42 × 216.42
4. Step 4: Simplify right side
   98.72x = 46,838.43
5. Step 5: Solve for x
   x = 46,838.43/98.72
6. Step 6: Final answer
   x = 474.46