Finding the Third Proportional to 105,864 and 144,216

Step by Step Solution

1. Step 1: Write the proportion equation
   105,864 : 144,216 = 144,216 : x
2. Step 2: Convert to fraction form
   105,864/144,216 = 144,216/x
3. Step 3: Cross multiply
   105,864x = 144,216 × 144,216
4. Step 4: Simplify right side
   105,864x = 20,798,254,656
5. Step 5: Solve for x
   x = 20,798,254,656/105,864
6. Step 6: Final answer
   x = 196,462.01