Finding the Third Proportional to 127.69 and 191.81

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 191.81 = 191.81 : x
2. Step 2: Convert to fraction form
   127.69/191.81 = 191.81/x
3. Step 3: Cross multiply
   127.69x = 191.81 × 191.81
4. Step 4: Simplify right side
   127.69x = 36,792.04
5. Step 5: Solve for x
   x = 36,792.04/127.69
6. Step 6: Final answer
   x = 288.14