Finding the Third Proportional to 144,414 and 327,978

Step by Step Solution

1. Step 1: Write the proportion equation
   144,414 : 327,978 = 327,978 : x
2. Step 2: Convert to fraction form
   144,414/327,978 = 327,978/x
3. Step 3: Cross multiply
   144,414x = 327,978 × 327,978
4. Step 4: Simplify right side
   144,414x = 107,569,568,484
5. Step 5: Solve for x
   x = 107,569,568,484/144,414
6. Step 6: Final answer
   x = 744,869.39