Finding the Third Proportional to 105,828 and 144,118

Step by Step Solution

1. Step 1: Write the proportion equation
   105,828 : 144,118 = 144,118 : x
2. Step 2: Convert to fraction form
   105,828/144,118 = 144,118/x
3. Step 3: Cross multiply
   105,828x = 144,118 × 144,118
4. Step 4: Simplify right side
   105,828x = 20,769,997,924
5. Step 5: Solve for x
   x = 20,769,997,924/105,828
6. Step 6: Final answer
   x = 196,261.84