Finding the Third Proportional to 145.94 and 158.88

Step by Step Solution

1. Step 1: Write the proportion equation
   145.94 : 158.88 = 158.88 : x
2. Step 2: Convert to fraction form
   145.94/158.88 = 158.88/x
3. Step 3: Cross multiply
   145.94x = 158.88 × 158.88
4. Step 4: Simplify right side
   145.94x = 25,241.27
5. Step 5: Solve for x
   x = 25,241.27/145.94
6. Step 6: Final answer
   x = 172.96