Finding the Third Proportional to 127,880 and 200,601

Step by Step Solution

1. Step 1: Write the proportion equation
   127,880 : 200,601 = 200,601 : x
2. Step 2: Convert to fraction form
   127,880/200,601 = 200,601/x
3. Step 3: Cross multiply
   127,880x = 200,601 × 200,601
4. Step 4: Simplify right side
   127,880x = 40,240,761,201
5. Step 5: Solve for x
   x = 40,240,761,201/127,880
6. Step 6: Final answer
   x = 314,675.96