Finding the Third Proportional to 76.08 and 114.89

Step by Step Solution

1. Step 1: Write the proportion equation
   76.08 : 114.89 = 114.89 : x
2. Step 2: Convert to fraction form
   76.08/114.89 = 114.89/x
3. Step 3: Cross multiply
   76.08x = 114.89 × 114.89
4. Step 4: Simplify right side
   76.08x = 13,199.86
5. Step 5: Solve for x
   x = 13,199.86/76.08
6. Step 6: Final answer
   x = 173.50