Finding the Third Proportional to 105,192 and 144,612

Step by Step Solution

1. Step 1: Write the proportion equation
   105,192 : 144,612 = 144,612 : x
2. Step 2: Convert to fraction form
   105,192/144,612 = 144,612/x
3. Step 3: Cross multiply
   105,192x = 144,612 × 144,612
4. Step 4: Simplify right side
   105,192x = 20,912,630,544
5. Step 5: Solve for x
   x = 20,912,630,544/105,192
6. Step 6: Final answer
   x = 198,804.38