Finding the Third Proportional to 270,578 and 584,488

Step by Step Solution

1. Step 1: Write the proportion equation
   270,578 : 584,488 = 584,488 : x
2. Step 2: Convert to fraction form
   270,578/584,488 = 584,488/x
3. Step 3: Cross multiply
   270,578x = 584,488 × 584,488
4. Step 4: Simplify right side
   270,578x = 341,626,222,144
5. Step 5: Solve for x
   x = 341,626,222,144/270,578
6. Step 6: Final answer
   x = 1,262,579.45