Finding the Third Proportional to 401,724 and 622,016

Step by Step Solution

1. Step 1: Write the proportion equation
   401,724 : 622,016 = 622,016 : x
2. Step 2: Convert to fraction form
   401,724/622,016 = 622,016/x
3. Step 3: Cross multiply
   401,724x = 622,016 × 622,016
4. Step 4: Simplify right side
   401,724x = 386,903,904,256
5. Step 5: Solve for x
   x = 386,903,904,256/401,724
6. Step 6: Final answer
   x = 963,108.76