Finding the Third Proportional to 127,864 and 200,584

Step by Step Solution

1. Step 1: Write the proportion equation
   127,864 : 200,584 = 200,584 : x
2. Step 2: Convert to fraction form
   127,864/200,584 = 200,584/x
3. Step 3: Cross multiply
   127,864x = 200,584 × 200,584
4. Step 4: Simplify right side
   127,864x = 40,233,941,056
5. Step 5: Solve for x
   x = 40,233,941,056/127,864
6. Step 6: Final answer
   x = 314,661.99