Finding the Third Proportional to 127.69 and 334.13

Step by Step Solution

1. Step 1: Write the proportion equation
   127.69 : 334.13 = 334.13 : x
2. Step 2: Convert to fraction form
   127.69/334.13 = 334.13/x
3. Step 3: Cross multiply
   127.69x = 334.13 × 334.13
4. Step 4: Simplify right side
   127.69x = 111,639.52
5. Step 5: Solve for x
   x = 111,639.52/127.69
6. Step 6: Final answer
   x = 874.32