Finding the Third Proportional to 127,928 and 200,672

Step by Step Solution

1. Step 1: Write the proportion equation
   127,928 : 200,672 = 200,672 : x
2. Step 2: Convert to fraction form
   127,928/200,672 = 200,672/x
3. Step 3: Cross multiply
   127,928x = 200,672 × 200,672
4. Step 4: Simplify right side
   127,928x = 40,269,251,584
5. Step 5: Solve for x
   x = 40,269,251,584/127,928
6. Step 6: Final answer
   x = 314,780.59