Finding the Third Proportional to 85.69 and 151.97

Step by Step Solution

1. Step 1: Write the proportion equation
   85.69 : 151.97 = 151.97 : x
2. Step 2: Convert to fraction form
   85.69/151.97 = 151.97/x
3. Step 3: Cross multiply
   85.69x = 151.97 × 151.97
4. Step 4: Simplify right side
   85.69x = 23,094.50
5. Step 5: Solve for x
   x = 23,094.50/85.69
6. Step 6: Final answer
   x = 269.52