Finding the Third Proportional to 127,404 and 269,976

Step by Step Solution

1. Step 1: Write the proportion equation
   127,404 : 269,976 = 269,976 : x
2. Step 2: Convert to fraction form
   127,404/269,976 = 269,976/x
3. Step 3: Cross multiply
   127,404x = 269,976 × 269,976
4. Step 4: Simplify right side
   127,404x = 72,887,040,576
5. Step 5: Solve for x
   x = 72,887,040,576/127,404
6. Step 6: Final answer
   x = 572,093.82