Finding the Third Proportional to 401,936 and 622,078

Step by Step Solution

1. Step 1: Write the proportion equation
   401,936 : 622,078 = 622,078 : x
2. Step 2: Convert to fraction form
   401,936/622,078 = 622,078/x
3. Step 3: Cross multiply
   401,936x = 622,078 × 622,078
4. Step 4: Simplify right side
   401,936x = 386,981,038,084
5. Step 5: Solve for x
   x = 386,981,038,084/401,936
6. Step 6: Final answer
   x = 962,792.68