Finding the Third Proportional to 105,676 and 144,906

Step by Step Solution

1. Step 1: Write the proportion equation
   105,676 : 144,906 = 144,906 : x
2. Step 2: Convert to fraction form
   105,676/144,906 = 144,906/x
3. Step 3: Cross multiply
   105,676x = 144,906 × 144,906
4. Step 4: Simplify right side
   105,676x = 20,997,748,836
5. Step 5: Solve for x
   x = 20,997,748,836/105,676
6. Step 6: Final answer
   x = 198,699.32