Finding the Third Proportional to 105,496 and 140,920

Step by Step Solution

1. Step 1: Write the proportion equation
   105,496 : 140,920 = 140,920 : x
2. Step 2: Convert to fraction form
   105,496/140,920 = 140,920/x
3. Step 3: Cross multiply
   105,496x = 140,920 × 140,920
4. Step 4: Simplify right side
   105,496x = 19,858,446,400
5. Step 5: Solve for x
   x = 19,858,446,400/105,496
6. Step 6: Final answer
   x = 188,238.86