Finding the Third Proportional to 470,065 and 685,410

Step by Step Solution

1. Step 1: Write the proportion equation
   470,065 : 685,410 = 685,410 : x
2. Step 2: Convert to fraction form
   470,065/685,410 = 685,410/x
3. Step 3: Cross multiply
   470,065x = 685,410 × 685,410
4. Step 4: Simplify right side
   470,065x = 469,786,868,100
5. Step 5: Solve for x
   x = 469,786,868,100/470,065
6. Step 6: Final answer
   x = 999,408.31