Finding the Third Proportional to 105,820 and 144,106

Step by Step Solution

1. Step 1: Write the proportion equation
   105,820 : 144,106 = 144,106 : x
2. Step 2: Convert to fraction form
   105,820/144,106 = 144,106/x
3. Step 3: Cross multiply
   105,820x = 144,106 × 144,106
4. Step 4: Simplify right side
   105,820x = 20,766,539,236
5. Step 5: Solve for x
   x = 20,766,539,236/105,820
6. Step 6: Final answer
   x = 196,243.99