Finding the Third Proportional to 127,680 and 274,578

Step by Step Solution

1. Step 1: Write the proportion equation
   127,680 : 274,578 = 274,578 : x
2. Step 2: Convert to fraction form
   127,680/274,578 = 274,578/x
3. Step 3: Cross multiply
   127,680x = 274,578 × 274,578
4. Step 4: Simplify right side
   127,680x = 75,393,078,084
5. Step 5: Solve for x
   x = 75,393,078,084/127,680
6. Step 6: Final answer
   x = 590,484.63