Finding the Third Proportional to 82.27 and 183.94

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 183.94 = 183.94 : x
2. Step 2: Convert to fraction form
   82.27/183.94 = 183.94/x
3. Step 3: Cross multiply
   82.27x = 183.94 × 183.94
4. Step 4: Simplify right side
   82.27x = 33,833.00
5. Step 5: Solve for x
   x = 33,833.00/82.27
6. Step 6: Final answer
   x = 411.27