Finding the Third Proportional to 105,077.25 and 144,493.88

Step by Step Solution

1. Step 1: Write the proportion equation
   105,077.25 : 144,493.88 = 144,493.88 : x
2. Step 2: Convert to fraction form
   105,077.25/144,493.88 = 144,493.88/x
3. Step 3: Cross multiply
   105,077.25x = 144,493.88 × 144,493.88
4. Step 4: Simplify right side
   105,077.25x = 20,878,479,912.52
5. Step 5: Solve for x
   x = 20,878,479,912.52/105,077.25
6. Step 6: Final answer
   x = 198,696.48