Finding the Third Proportional to 685,314 and 1,004,589

Step by Step Solution

1. Step 1: Write the proportion equation
   685,314 : 1,004,589 = 1,004,589 : x
2. Step 2: Convert to fraction form
   685,314/1,004,589 = 1,004,589/x
3. Step 3: Cross multiply
   685,314x = 1,004,589 × 1,004,589
4. Step 4: Simplify right side
   685,314x = 1,009,199,058,921
5. Step 5: Solve for x
   x = 1,009,199,058,921/685,314
6. Step 6: Final answer
   x = 1,472,608.26