Finding the Third Proportional to 127,760 and 280,632

Step by Step Solution

1. Step 1: Write the proportion equation
   127,760 : 280,632 = 280,632 : x
2. Step 2: Convert to fraction form
   127,760/280,632 = 280,632/x
3. Step 3: Cross multiply
   127,760x = 280,632 × 280,632
4. Step 4: Simplify right side
   127,760x = 78,754,319,424
5. Step 5: Solve for x
   x = 78,754,319,424/127,760
6. Step 6: Final answer
   x = 616,423.92