Finding the Third Proportional to 682,434 and 1,033,051

Step by Step Solution

1. Step 1: Write the proportion equation
   682,434 : 1,033,051 = 1,033,051 : x
2. Step 2: Convert to fraction form
   682,434/1,033,051 = 1,033,051/x
3. Step 3: Cross multiply
   682,434x = 1,033,051 × 1,033,051
4. Step 4: Simplify right side
   682,434x = 1,067,194,368,601
5. Step 5: Solve for x
   x = 1,067,194,368,601/682,434
6. Step 6: Final answer
   x = 1,563,805.98