Finding the Third Proportional to 82.69 and 150.19

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 150.19 = 150.19 : x
2. Step 2: Convert to fraction form
   82.69/150.19 = 150.19/x
3. Step 3: Cross multiply
   82.69x = 150.19 × 150.19
4. Step 4: Simplify right side
   82.69x = 22,556.29
5. Step 5: Solve for x
   x = 22,556.29/82.69
6. Step 6: Final answer
   x = 272.79