Finding the Third Proportional to 76,646 and 111,993

Step by Step Solution

1. Step 1: Write the proportion equation
   76,646 : 111,993 = 111,993 : x
2. Step 2: Convert to fraction form
   76,646/111,993 = 111,993/x
3. Step 3: Cross multiply
   76,646x = 111,993 × 111,993
4. Step 4: Simplify right side
   76,646x = 12,542,432,049
5. Step 5: Solve for x
   x = 12,542,432,049/76,646
6. Step 6: Final answer
   x = 163,641.05