Finding the Third Proportional to 381,168 and 501,228

Step by Step Solution

1. Step 1: Write the proportion equation
   381,168 : 501,228 = 501,228 : x
2. Step 2: Convert to fraction form
   381,168/501,228 = 501,228/x
3. Step 3: Cross multiply
   381,168x = 501,228 × 501,228
4. Step 4: Simplify right side
   381,168x = 251,229,507,984
5. Step 5: Solve for x
   x = 251,229,507,984/381,168
6. Step 6: Final answer
   x = 659,104.41