Finding the Third Proportional to 82.27 and 111.80

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 111.80 = 111.80 : x
2. Step 2: Convert to fraction form
   82.27/111.80 = 111.80/x
3. Step 3: Cross multiply
   82.27x = 111.80 × 111.80
4. Step 4: Simplify right side
   82.27x = 12,498.54
5. Step 5: Solve for x
   x = 12,498.54/82.27
6. Step 6: Final answer
   x = 151.93