Finding the Third Proportional to 409,168 and 628,016

Step by Step Solution

1. Step 1: Write the proportion equation
   409,168 : 628,016 = 628,016 : x
2. Step 2: Convert to fraction form
   409,168/628,016 = 628,016/x
3. Step 3: Cross multiply
   409,168x = 628,016 × 628,016
4. Step 4: Simplify right side
   409,168x = 394,404,096,256
5. Step 5: Solve for x
   x = 394,404,096,256/409,168
6. Step 6: Final answer
   x = 963,917.26