Finding the Third Proportional to 269,467.50 and 586,776

Step by Step Solution

1. Step 1: Write the proportion equation
   269,467.50 : 586,776 = 586,776 : x
2. Step 2: Convert to fraction form
   269,467.50/586,776 = 586,776/x
3. Step 3: Cross multiply
   269,467.50x = 586,776 × 586,776
4. Step 4: Simplify right side
   269,467.50x = 344,306,074,176
5. Step 5: Solve for x
   x = 344,306,074,176/269,467.50
6. Step 6: Final answer
   x = 1,277,727.64