Finding the Third Proportional to 401,563 and 621,784

Step by Step Solution

1. Step 1: Write the proportion equation
   401,563 : 621,784 = 621,784 : x
2. Step 2: Convert to fraction form
   401,563/621,784 = 621,784/x
3. Step 3: Cross multiply
   401,563x = 621,784 × 621,784
4. Step 4: Simplify right side
   401,563x = 386,615,342,656
5. Step 5: Solve for x
   x = 386,615,342,656/401,563
6. Step 6: Final answer
   x = 962,776.31