Finding the Third Proportional to 682,810 and 1,033,647

Step by Step Solution

1. Step 1: Write the proportion equation
   682,810 : 1,033,647 = 1,033,647 : x
2. Step 2: Convert to fraction form
   682,810/1,033,647 = 1,033,647/x
3. Step 3: Cross multiply
   682,810x = 1,033,647 × 1,033,647
4. Step 4: Simplify right side
   682,810x = 1,068,426,120,609
5. Step 5: Solve for x
   x = 1,068,426,120,609/682,810
6. Step 6: Final answer
   x = 1,564,748.79