Finding the Third Proportional to 82.69 and 172.92

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 172.92 = 172.92 : x
2. Step 2: Convert to fraction form
   82.69/172.92 = 172.92/x
3. Step 3: Cross multiply
   82.69x = 172.92 × 172.92
4. Step 4: Simplify right side
   82.69x = 29,901.97
5. Step 5: Solve for x
   x = 29,901.97/82.69
6. Step 6: Final answer
   x = 361.63