Finding the Third Proportional to 152.72 and 200.18

Step by Step Solution

1. Step 1: Write the proportion equation
   152.72 : 200.18 = 200.18 : x
2. Step 2: Convert to fraction form
   152.72/200.18 = 200.18/x
3. Step 3: Cross multiply
   152.72x = 200.18 × 200.18
4. Step 4: Simplify right side
   152.72x = 40,071.91
5. Step 5: Solve for x
   x = 40,071.91/152.72
6. Step 6: Final answer
   x = 262.39