Finding the Third Proportional to 127,764 and 200,016

Step by Step Solution

1. Step 1: Write the proportion equation
   127,764 : 200,016 = 200,016 : x
2. Step 2: Convert to fraction form
   127,764/200,016 = 200,016/x
3. Step 3: Cross multiply
   127,764x = 200,016 × 200,016
4. Step 4: Simplify right side
   127,764x = 40,006,400,256
5. Step 5: Solve for x
   x = 40,006,400,256/127,764
6. Step 6: Final answer
   x = 313,127.33