Finding the Third Proportional to 401,961 and 622,116

Step by Step Solution

1. Step 1: Write the proportion equation
   401,961 : 622,116 = 622,116 : x
2. Step 2: Convert to fraction form
   401,961/622,116 = 622,116/x
3. Step 3: Cross multiply
   401,961x = 622,116 × 622,116
4. Step 4: Simplify right side
   401,961x = 387,028,317,456
5. Step 5: Solve for x
   x = 387,028,317,456/401,961
6. Step 6: Final answer
   x = 962,850.42