Finding the Third Proportional to 82.69 and 175.13

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 175.13 = 175.13 : x
2. Step 2: Convert to fraction form
   82.69/175.13 = 175.13/x
3. Step 3: Cross multiply
   82.69x = 175.13 × 175.13
4. Step 4: Simplify right side
   82.69x = 30,668.77
5. Step 5: Solve for x
   x = 30,668.77/82.69
6. Step 6: Final answer
   x = 370.90