Finding the Third Proportional to 127,759 and 268,760

Step by Step Solution

1. Step 1: Write the proportion equation
   127,759 : 268,760 = 268,760 : x
2. Step 2: Convert to fraction form
   127,759/268,760 = 268,760/x
3. Step 3: Cross multiply
   127,759x = 268,760 × 268,760
4. Step 4: Simplify right side
   127,759x = 72,231,937,600
5. Step 5: Solve for x
   x = 72,231,937,600/127,759
6. Step 6: Final answer
   x = 565,376.51