Finding the Third Proportional to 314,456 and 682,064

Step by Step Solution

1. Step 1: Write the proportion equation
   314,456 : 682,064 = 682,064 : x
2. Step 2: Convert to fraction form
   314,456/682,064 = 682,064/x
3. Step 3: Cross multiply
   314,456x = 682,064 × 682,064
4. Step 4: Simplify right side
   314,456x = 465,211,300,096
5. Step 5: Solve for x
   x = 465,211,300,096/314,456
6. Step 6: Final answer
   x = 1,479,416.20