Finding the Third Proportional to 105,088 and 144,507

Step by Step Solution

1. Step 1: Write the proportion equation
   105,088 : 144,507 = 144,507 : x
2. Step 2: Convert to fraction form
   105,088/144,507 = 144,507/x
3. Step 3: Cross multiply
   105,088x = 144,507 × 144,507
4. Step 4: Simplify right side
   105,088x = 20,882,273,049
5. Step 5: Solve for x
   x = 20,882,273,049/105,088
6. Step 6: Final answer
   x = 198,712.25