Finding the Third Proportional to 127,828 and 200,085

Step by Step Solution

1. Step 1: Write the proportion equation
   127,828 : 200,085 = 200,085 : x
2. Step 2: Convert to fraction form
   127,828/200,085 = 200,085/x
3. Step 3: Cross multiply
   127,828x = 200,085 × 200,085
4. Step 4: Simplify right side
   127,828x = 40,034,007,225
5. Step 5: Solve for x
   x = 40,034,007,225/127,828
6. Step 6: Final answer
   x = 313,186.53