Finding the Third Proportional to 225,792 and 490,458

Step by Step Solution

1. Step 1: Write the proportion equation
   225,792 : 490,458 = 490,458 : x
2. Step 2: Convert to fraction form
   225,792/490,458 = 490,458/x
3. Step 3: Cross multiply
   225,792x = 490,458 × 490,458
4. Step 4: Simplify right side
   225,792x = 240,549,049,764
5. Step 5: Solve for x
   x = 240,549,049,764/225,792
6. Step 6: Final answer
   x = 1,065,356.83