Finding the Third Proportional to 127,886 and 200,610

Step by Step Solution

1. Step 1: Write the proportion equation
   127,886 : 200,610 = 200,610 : x
2. Step 2: Convert to fraction form
   127,886/200,610 = 200,610/x
3. Step 3: Cross multiply
   127,886x = 200,610 × 200,610
4. Step 4: Simplify right side
   127,886x = 40,244,372,100
5. Step 5: Solve for x
   x = 40,244,372,100/127,886
6. Step 6: Final answer
   x = 314,689.43