Finding the Third Proportional to 118.06 and 182.41

Step by Step Solution

1. Step 1: Write the proportion equation
   118.06 : 182.41 = 182.41 : x
2. Step 2: Convert to fraction form
   118.06/182.41 = 182.41/x
3. Step 3: Cross multiply
   118.06x = 182.41 × 182.41
4. Step 4: Simplify right side
   118.06x = 33,272.04
5. Step 5: Solve for x
   x = 33,272.04/118.06
6. Step 6: Final answer
   x = 281.82