Finding the Third Proportional to 81,869 and 123,108

Step by Step Solution

1. Step 1: Write the proportion equation
   81,869 : 123,108 = 123,108 : x
2. Step 2: Convert to fraction form
   81,869/123,108 = 123,108/x
3. Step 3: Cross multiply
   81,869x = 123,108 × 123,108
4. Step 4: Simplify right side
   81,869x = 15,155,579,664
5. Step 5: Solve for x
   x = 15,155,579,664/81,869
6. Step 6: Final answer
   x = 185,119.88