Finding the Third Proportional to 151.50 and 206.38

Step by Step Solution

1. Step 1: Write the proportion equation
   151.50 : 206.38 = 206.38 : x
2. Step 2: Convert to fraction form
   151.50/206.38 = 206.38/x
3. Step 3: Cross multiply
   151.50x = 206.38 × 206.38
4. Step 4: Simplify right side
   151.50x = 42,590.64
5. Step 5: Solve for x
   x = 42,590.64/151.50
6. Step 6: Final answer
   x = 281.13