Finding the Third Proportional to 105,485.25 and 140,910.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,485.25 : 140,910.75 = 140,910.75 : x
2. Step 2: Convert to fraction form
   105,485.25/140,910.75 = 140,910.75/x
3. Step 3: Cross multiply
   105,485.25x = 140,910.75 × 140,910.75
4. Step 4: Simplify right side
   105,485.25x = 19,855,839,465.56
5. Step 5: Solve for x
   x = 19,855,839,465.56/105,485.25
6. Step 6: Final answer
   x = 188,233.33