Finding the Third Proportional to 314,451 and 682,056

Step by Step Solution

1. Step 1: Write the proportion equation
   314,451 : 682,056 = 682,056 : x
2. Step 2: Convert to fraction form
   314,451/682,056 = 682,056/x
3. Step 3: Cross multiply
   314,451x = 682,056 × 682,056
4. Step 4: Simplify right side
   314,451x = 465,200,387,136
5. Step 5: Solve for x
   x = 465,200,387,136/314,451
6. Step 6: Final answer
   x = 1,479,405.02