Finding the Third Proportional to 127,016 and 277,359.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,016 : 277,359.50 = 277,359.50 : x
2. Step 2: Convert to fraction form
   127,016/277,359.50 = 277,359.50/x
3. Step 3: Cross multiply
   127,016x = 277,359.50 × 277,359.50
4. Step 4: Simplify right side
   127,016x = 76,928,292,240.25
5. Step 5: Solve for x
   x = 76,928,292,240.25/127,016
6. Step 6: Final answer
   x = 605,658.28