Finding the Third Proportional to 468,089 and 685,471

Step by Step Solution

1. Step 1: Write the proportion equation
   468,089 : 685,471 = 685,471 : x
2. Step 2: Convert to fraction form
   468,089/685,471 = 685,471/x
3. Step 3: Cross multiply
   468,089x = 685,471 × 685,471
4. Step 4: Simplify right side
   468,089x = 469,870,491,841
5. Step 5: Solve for x
   x = 469,870,491,841/468,089
6. Step 6: Final answer
   x = 1,003,805.88