Finding the Third Proportional to 404,894 and 628,563

Step by Step Solution

1. Step 1: Write the proportion equation
   404,894 : 628,563 = 628,563 : x
2. Step 2: Convert to fraction form
   404,894/628,563 = 628,563/x
3. Step 3: Cross multiply
   404,894x = 628,563 × 628,563
4. Step 4: Simplify right side
   404,894x = 395,091,444,969
5. Step 5: Solve for x
   x = 395,091,444,969/404,894
6. Step 6: Final answer
   x = 975,789.82