Finding the Third Proportional to 76.92 and 118.27

Step by Step Solution

1. Step 1: Write the proportion equation
   76.92 : 118.27 = 118.27 : x
2. Step 2: Convert to fraction form
   76.92/118.27 = 118.27/x
3. Step 3: Cross multiply
   76.92x = 118.27 × 118.27
4. Step 4: Simplify right side
   76.92x = 13,986.76
5. Step 5: Solve for x
   x = 13,986.76/76.92
6. Step 6: Final answer
   x = 181.83