Finding the Third Proportional to 334,568 and 685,444

Step by Step Solution

1. Step 1: Write the proportion equation
   334,568 : 685,444 = 685,444 : x
2. Step 2: Convert to fraction form
   334,568/685,444 = 685,444/x
3. Step 3: Cross multiply
   334,568x = 685,444 × 685,444
4. Step 4: Simplify right side
   334,568x = 469,833,477,136
5. Step 5: Solve for x
   x = 469,833,477,136/334,568
6. Step 6: Final answer
   x = 1,404,298.91