Finding the Third Proportional to 127,098 and 251,004

Step by Step Solution

1. Step 1: Write the proportion equation
   127,098 : 251,004 = 251,004 : x
2. Step 2: Convert to fraction form
   127,098/251,004 = 251,004/x
3. Step 3: Cross multiply
   127,098x = 251,004 × 251,004
4. Step 4: Simplify right side
   127,098x = 63,003,008,016
5. Step 5: Solve for x
   x = 63,003,008,016/127,098
6. Step 6: Final answer
   x = 495,704.17