Finding the Third Proportional to 76.88 and 160.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76.88 : 160.25 = 160.25 : x
2. Step 2: Convert to fraction form
   76.88/160.25 = 160.25/x
3. Step 3: Cross multiply
   76.88x = 160.25 × 160.25
4. Step 4: Simplify right side
   76.88x = 25,680.06
5. Step 5: Solve for x
   x = 25,680.06/76.88
6. Step 6: Final answer
   x = 334.05