Finding the Third Proportional to 585,264 and 1,257,822

Step by Step Solution

1. Step 1: Write the proportion equation
   585,264 : 1,257,822 = 1,257,822 : x
2. Step 2: Convert to fraction form
   585,264/1,257,822 = 1,257,822/x
3. Step 3: Cross multiply
   585,264x = 1,257,822 × 1,257,822
4. Step 4: Simplify right side
   585,264x = 1,582,116,183,684
5. Step 5: Solve for x
   x = 1,582,116,183,684/585,264
6. Step 6: Final answer
   x = 2,703,252.18