Finding the Third Proportional to 76.56 and 166.89

Step by Step Solution

1. Step 1: Write the proportion equation
   76.56 : 166.89 = 166.89 : x
2. Step 2: Convert to fraction form
   76.56/166.89 = 166.89/x
3. Step 3: Cross multiply
   76.56x = 166.89 × 166.89
4. Step 4: Simplify right side
   76.56x = 27,851.18
5. Step 5: Solve for x
   x = 27,851.18/76.56
6. Step 6: Final answer
   x = 363.79