Finding the Third Proportional to 127,902 and 200,640

Step by Step Solution

1. Step 1: Write the proportion equation
   127,902 : 200,640 = 200,640 : x
2. Step 2: Convert to fraction form
   127,902/200,640 = 200,640/x
3. Step 3: Cross multiply
   127,902x = 200,640 × 200,640
4. Step 4: Simplify right side
   127,902x = 40,256,409,600
5. Step 5: Solve for x
   x = 40,256,409,600/127,902
6. Step 6: Final answer
   x = 314,744.18