Finding the Third Proportional to 127,779 and 200,459

Step by Step Solution

1. Step 1: Write the proportion equation
   127,779 : 200,459 = 200,459 : x
2. Step 2: Convert to fraction form
   127,779/200,459 = 200,459/x
3. Step 3: Cross multiply
   127,779x = 200,459 × 200,459
4. Step 4: Simplify right side
   127,779x = 40,183,810,681
5. Step 5: Solve for x
   x = 40,183,810,681/127,779
6. Step 6: Final answer
   x = 314,478.99