Finding the Third Proportional to 76.59 and 118.59

Step by Step Solution

1. Step 1: Write the proportion equation
   76.59 : 118.59 = 118.59 : x
2. Step 2: Convert to fraction form
   76.59/118.59 = 118.59/x
3. Step 3: Cross multiply
   76.59x = 118.59 × 118.59
4. Step 4: Simplify right side
   76.59x = 14,064.48
5. Step 5: Solve for x
   x = 14,064.48/76.59
6. Step 6: Final answer
   x = 183.62