Finding the Third Proportional to 127.81 and 186.94

Step by Step Solution

1. Step 1: Write the proportion equation
   127.81 : 186.94 = 186.94 : x
2. Step 2: Convert to fraction form
   127.81/186.94 = 186.94/x
3. Step 3: Cross multiply
   127.81x = 186.94 × 186.94
4. Step 4: Simplify right side
   127.81x = 34,945.63
5. Step 5: Solve for x
   x = 34,945.63/127.81
6. Step 6: Final answer
   x = 273.41