Finding the Third Proportional to 80,781 and 123,993

Step by Step Solution

1. Step 1: Write the proportion equation
   80,781 : 123,993 = 123,993 : x
2. Step 2: Convert to fraction form
   80,781/123,993 = 123,993/x
3. Step 3: Cross multiply
   80,781x = 123,993 × 123,993
4. Step 4: Simplify right side
   80,781x = 15,374,264,049
5. Step 5: Solve for x
   x = 15,374,264,049/80,781
6. Step 6: Final answer
   x = 190,320.30