Finding the Third Proportional to 269,468 and 586,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,468 : 586,776.50 = 586,776.50 : x
2. Step 2: Convert to fraction form
   269,468/586,776.50 = 586,776.50/x
3. Step 3: Cross multiply
   269,468x = 586,776.50 × 586,776.50
4. Step 4: Simplify right side
   269,468x = 344,306,660,952.25
5. Step 5: Solve for x
   x = 344,306,660,952.25/269,468
6. Step 6: Final answer
   x = 1,277,727.45