Finding the Third Proportional to 326,003 and 687,406

Step by Step Solution

1. Step 1: Write the proportion equation
   326,003 : 687,406 = 687,406 : x
2. Step 2: Convert to fraction form
   326,003/687,406 = 687,406/x
3. Step 3: Cross multiply
   326,003x = 687,406 × 687,406
4. Step 4: Simplify right side
   326,003x = 472,527,008,836
5. Step 5: Solve for x
   x = 472,527,008,836/326,003
6. Step 6: Final answer
   x = 1,449,456.01