Finding the Third Proportional to 105,756 and 140,992

Step by Step Solution

1. Step 1: Write the proportion equation
   105,756 : 140,992 = 140,992 : x
2. Step 2: Convert to fraction form
   105,756/140,992 = 140,992/x
3. Step 3: Cross multiply
   105,756x = 140,992 × 140,992
4. Step 4: Simplify right side
   105,756x = 19,878,744,064
5. Step 5: Solve for x
   x = 19,878,744,064/105,756
6. Step 6: Final answer
   x = 187,968.00