Finding the Third Proportional to 269,669.25 and 586,404

Step by Step Solution

1. Step 1: Write the proportion equation
   269,669.25 : 586,404 = 586,404 : x
2. Step 2: Convert to fraction form
   269,669.25/586,404 = 586,404/x
3. Step 3: Cross multiply
   269,669.25x = 586,404 × 586,404
4. Step 4: Simplify right side
   269,669.25x = 343,869,651,216
5. Step 5: Solve for x
   x = 343,869,651,216/269,669.25
6. Step 6: Final answer
   x = 1,275,153.36