Finding the Third Proportional to 82.69 and 184.36

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 184.36 = 184.36 : x
2. Step 2: Convert to fraction form
   82.69/184.36 = 184.36/x
3. Step 3: Cross multiply
   82.69x = 184.36 × 184.36
4. Step 4: Simplify right side
   82.69x = 33,988.38
5. Step 5: Solve for x
   x = 33,988.38/82.69
6. Step 6: Final answer
   x = 411.05