Finding the Third Proportional to 322,768 and 690,008

Step by Step Solution

1. Step 1: Write the proportion equation
   322,768 : 690,008 = 690,008 : x
2. Step 2: Convert to fraction form
   322,768/690,008 = 690,008/x
3. Step 3: Cross multiply
   322,768x = 690,008 × 690,008
4. Step 4: Simplify right side
   322,768x = 476,111,040,064
5. Step 5: Solve for x
   x = 476,111,040,064/322,768
6. Step 6: Final answer
   x = 1,475,087.49