Finding the Third Proportional to 128 and 151.25

Step by Step Solution

1. Step 1: Write the proportion equation
   128 : 151.25 = 151.25 : x
2. Step 2: Convert to fraction form
   128/151.25 = 151.25/x
3. Step 3: Cross multiply
   128x = 151.25 × 151.25
4. Step 4: Simplify right side
   128x = 22,876.56
5. Step 5: Solve for x
   x = 22,876.56/128
6. Step 6: Final answer
   x = 178.72