Finding the Third Proportional to 152.72 and 198.28

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 198.28 = 198.28 : x
2. Step 2: Convert to fraction form
   152.72/198.28 = 198.28/x
3. Step 3: Cross multiply
   152.72x = 198.28 × 198.28
4. Step 4: Simplify right side
   152.72x = 39,315.45
5. Step 5: Solve for x
   x = 39,315.45/152.72
6. Step 6: Final answer
   x = 257.44