Finding the Third Proportional to 401,684 and 622,362

Step by Step Solution

1. Step 1: Write the proportion equation
   401,684 : 622,362 = 622,362 : x
2. Step 2: Convert to fraction form
   401,684/622,362 = 622,362/x
3. Step 3: Cross multiply
   401,684x = 622,362 × 622,362
4. Step 4: Simplify right side
   401,684x = 387,334,459,044
5. Step 5: Solve for x
   x = 387,334,459,044/401,684
6. Step 6: Final answer
   x = 964,276.54