Finding the Third Proportional to 127,584 and 280,530

Step by Step Solution

1. Step 1: Write the proportion equation
   127,584 : 280,530 = 280,530 : x
2. Step 2: Convert to fraction form
   127,584/280,530 = 280,530/x
3. Step 3: Cross multiply
   127,584x = 280,530 × 280,530
4. Step 4: Simplify right side
   127,584x = 78,697,080,900
5. Step 5: Solve for x
   x = 78,697,080,900/127,584
6. Step 6: Final answer
   x = 616,825.63