Finding the Third Proportional to 127,914 and 200,208

Step by Step Solution

1. Step 1: Write the proportion equation
   127,914 : 200,208 = 200,208 : x
2. Step 2: Convert to fraction form
   127,914/200,208 = 200,208/x
3. Step 3: Cross multiply
   127,914x = 200,208 × 200,208
4. Step 4: Simplify right side
   127,914x = 40,083,243,264
5. Step 5: Solve for x
   x = 40,083,243,264/127,914
6. Step 6: Final answer
   x = 313,360.88