Finding the Third Proportional to 404,921 and 628,608

Step by Step Solution

1. Step 1: Write the proportion equation
   404,921 : 628,608 = 628,608 : x
2. Step 2: Convert to fraction form
   404,921/628,608 = 628,608/x
3. Step 3: Cross multiply
   404,921x = 628,608 × 628,608
4. Step 4: Simplify right side
   404,921x = 395,148,017,664
5. Step 5: Solve for x
   x = 395,148,017,664/404,921
6. Step 6: Final answer
   x = 975,864.47