Finding the Third Proportional to 458,072 and 685,002

Step by Step Solution

1. Step 1: Write the proportion equation
   458,072 : 685,002 = 685,002 : x
2. Step 2: Convert to fraction form
   458,072/685,002 = 685,002/x
3. Step 3: Cross multiply
   458,072x = 685,002 × 685,002
4. Step 4: Simplify right side
   458,072x = 469,227,740,004
5. Step 5: Solve for x
   x = 469,227,740,004/458,072
6. Step 6: Final answer
   x = 1,024,353.68