Finding the Third Proportional to 108,658 and 144,231

Step by Step Solution

1. Step 1: Write the proportion equation
   108,658 : 144,231 = 144,231 : x
2. Step 2: Convert to fraction form
   108,658/144,231 = 144,231/x
3. Step 3: Cross multiply
   108,658x = 144,231 × 144,231
4. Step 4: Simplify right side
   108,658x = 20,802,581,361
5. Step 5: Solve for x
   x = 20,802,581,361/108,658
6. Step 6: Final answer
   x = 191,450.07