Finding the Third Proportional to 82.69 and 183.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 183.38 = 183.38 : x
2. Step 2: Convert to fraction form
   82.69/183.38 = 183.38/x
3. Step 3: Cross multiply
   82.69x = 183.38 × 183.38
4. Step 4: Simplify right side
   82.69x = 33,626.39
5. Step 5: Solve for x
   x = 33,626.39/82.69
6. Step 6: Final answer
   x = 406.67