Finding the Third Proportional to 127,412 and 277,384

Step by Step Solution

1. Step 1: Write the proportion equation
   127,412 : 277,384 = 277,384 : x
2. Step 2: Convert to fraction form
   127,412/277,384 = 277,384/x
3. Step 3: Cross multiply
   127,412x = 277,384 × 277,384
4. Step 4: Simplify right side
   127,412x = 76,941,883,456
5. Step 5: Solve for x
   x = 76,941,883,456/127,412
6. Step 6: Final answer
   x = 603,882.55