Finding the Third Proportional to 105,735 and 154,383

Step by Step Solution

1. Step 1: Write the proportion equation
   105,735 : 154,383 = 154,383 : x
2. Step 2: Convert to fraction form
   105,735/154,383 = 154,383/x
3. Step 3: Cross multiply
   105,735x = 154,383 × 154,383
4. Step 4: Simplify right side
   105,735x = 23,834,110,689
5. Step 5: Solve for x
   x = 23,834,110,689/105,735
6. Step 6: Final answer
   x = 225,413.63