Finding the Third Proportional to 79,878 and 105,993

Step by Step Solution

1. Step 1: Write the proportion equation
   79,878 : 105,993 = 105,993 : x
2. Step 2: Convert to fraction form
   79,878/105,993 = 105,993/x
3. Step 3: Cross multiply
   79,878x = 105,993 × 105,993
4. Step 4: Simplify right side
   79,878x = 11,234,516,049
5. Step 5: Solve for x
   x = 11,234,516,049/79,878
6. Step 6: Final answer
   x = 140,645.94