Finding the Third Proportional to 127,759.50 and 268,759

Step by Step Solution

1. Step 1: Write the proportion equation
   127,759.50 : 268,759 = 268,759 : x
2. Step 2: Convert to fraction form
   127,759.50/268,759 = 268,759/x
3. Step 3: Cross multiply
   127,759.50x = 268,759 × 268,759
4. Step 4: Simplify right side
   127,759.50x = 72,231,400,081
5. Step 5: Solve for x
   x = 72,231,400,081/127,759.50
6. Step 6: Final answer
   x = 565,370.09