Finding the Third Proportional to 127,834 and 200,544

Step by Step Solution

1. Step 1: Write the proportion equation
   127,834 : 200,544 = 200,544 : x
2. Step 2: Convert to fraction form
   127,834/200,544 = 200,544/x
3. Step 3: Cross multiply
   127,834x = 200,544 × 200,544
4. Step 4: Simplify right side
   127,834x = 40,217,895,936
5. Step 5: Solve for x
   x = 40,217,895,936/127,834
6. Step 6: Final answer
   x = 314,610.32