Finding the Third Proportional to 280,868 and 585,072

Step by Step Solution

1. Step 1: Write the proportion equation
   280,868 : 585,072 = 585,072 : x
2. Step 2: Convert to fraction form
   280,868/585,072 = 585,072/x
3. Step 3: Cross multiply
   280,868x = 585,072 × 585,072
4. Step 4: Simplify right side
   280,868x = 342,309,245,184
5. Step 5: Solve for x
   x = 342,309,245,184/280,868
6. Step 6: Final answer
   x = 1,218,754.88