Finding the Third Proportional to 269,959.50 and 586,521

Step by Step Solution

1. Step 1: Write the proportion equation
   269,959.50 : 586,521 = 586,521 : x
2. Step 2: Convert to fraction form
   269,959.50/586,521 = 586,521/x
3. Step 3: Cross multiply
   269,959.50x = 586,521 × 586,521
4. Step 4: Simplify right side
   269,959.50x = 344,006,883,441
5. Step 5: Solve for x
   x = 344,006,883,441/269,959.50
6. Step 6: Final answer
   x = 1,274,290.71