Finding the Third Proportional to 127,658 and 280,684

Step by Step Solution

1. Step 1: Write the proportion equation
   127,658 : 280,684 = 280,684 : x
2. Step 2: Convert to fraction form
   127,658/280,684 = 280,684/x
3. Step 3: Cross multiply
   127,658x = 280,684 × 280,684
4. Step 4: Simplify right side
   127,658x = 78,783,507,856
5. Step 5: Solve for x
   x = 78,783,507,856/127,658
6. Step 6: Final answer
   x = 617,145.09