Finding the Third Proportional to 127.69 and 189.66

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 189.66 = 189.66 : x
2. Step 2: Convert to fraction form
   127.69/189.66 = 189.66/x
3. Step 3: Cross multiply
   127.69x = 189.66 × 189.66
4. Step 4: Simplify right side
   127.69x = 35,969.49
5. Step 5: Solve for x
   x = 35,969.49/127.69
6. Step 6: Final answer
   x = 281.70