Finding the Third Proportional to 105,472 and 162,864

Step by Step Solution

1. Step 1: Write the proportion equation
   105,472 : 162,864 = 162,864 : x
2. Step 2: Convert to fraction form
   105,472/162,864 = 162,864/x
3. Step 3: Cross multiply
   105,472x = 162,864 × 162,864
4. Step 4: Simplify right side
   105,472x = 26,524,682,496
5. Step 5: Solve for x
   x = 26,524,682,496/105,472
6. Step 6: Final answer
   x = 251,485.54