Finding the Third Proportional to 127.20 and 194.59

Step by Step Solution

1. Step 1: Write the proportion equation
   127.20 : 194.59 = 194.59 : x
2. Step 2: Convert to fraction form
   127.20/194.59 = 194.59/x
3. Step 3: Cross multiply
   127.20x = 194.59 × 194.59
4. Step 4: Simplify right side
   127.20x = 37,865.21
5. Step 5: Solve for x
   x = 37,865.21/127.20
6. Step 6: Final answer
   x = 297.69