Finding the Third Proportional to 127,256 and 276,384

Step by Step Solution

1. Step 1: Write the proportion equation
   127,256 : 276,384 = 276,384 : x
2. Step 2: Convert to fraction form
   127,256/276,384 = 276,384/x
3. Step 3: Cross multiply
   127,256x = 276,384 × 276,384
4. Step 4: Simplify right side
   127,256x = 76,388,115,456
5. Step 5: Solve for x
   x = 76,388,115,456/127,256
6. Step 6: Final answer
   x = 600,271.23