Finding the Third Proportional to 127.69 and 192.75

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 192.75 = 192.75 : x
2. Step 2: Convert to fraction form
   127.69/192.75 = 192.75/x
3. Step 3: Cross multiply
   127.69x = 192.75 × 192.75
4. Step 4: Simplify right side
   127.69x = 37,152.56
5. Step 5: Solve for x
   x = 37,152.56/127.69
6. Step 6: Final answer
   x = 290.96