Finding the Third Proportional to 128.25 and 186.47

Step by Step Solution

1. Step 1: Write the proportion equation
   128.25 : 186.47 = 186.47 : x
2. Step 2: Convert to fraction form
   128.25/186.47 = 186.47/x
3. Step 3: Cross multiply
   128.25x = 186.47 × 186.47
4. Step 4: Simplify right side
   128.25x = 34,770.59
5. Step 5: Solve for x
   x = 34,770.59/128.25
6. Step 6: Final answer
   x = 271.12