Finding the Third Proportional to 301,827 and 628,404

Step by Step Solution

1. Step 1: Write the proportion equation
   301,827 : 628,404 = 628,404 : x
2. Step 2: Convert to fraction form
   301,827/628,404 = 628,404/x
3. Step 3: Cross multiply
   301,827x = 628,404 × 628,404
4. Step 4: Simplify right side
   301,827x = 394,891,587,216
5. Step 5: Solve for x
   x = 394,891,587,216/301,827
6. Step 6: Final answer
   x = 1,308,337.52