Finding the Third Proportional to 127.31 and 194.81

Step by Step Solution

1. Step 1: Write the proportion equation
   127.31 : 194.81 = 194.81 : x
2. Step 2: Convert to fraction form
   127.31/194.81 = 194.81/x
3. Step 3: Cross multiply
   127.31x = 194.81 × 194.81
4. Step 4: Simplify right side
   127.31x = 37,951.91
5. Step 5: Solve for x
   x = 37,951.91/127.31
6. Step 6: Final answer
   x = 298.10