Finding the Third Proportional to 105,843 and 145,804

Step by Step Solution

1. Step 1: Write the proportion equation
   105,843 : 145,804 = 145,804 : x
2. Step 2: Convert to fraction form
   105,843/145,804 = 145,804/x
3. Step 3: Cross multiply
   105,843x = 145,804 × 145,804
4. Step 4: Simplify right side
   105,843x = 21,258,806,416
5. Step 5: Solve for x
   x = 21,258,806,416/105,843
6. Step 6: Final answer
   x = 200,852.27