Finding the Third Proportional to 105,844 and 145,806

Step by Step Solution

1. Step 1: Write the proportion equation
   105,844 : 145,806 = 145,806 : x
2. Step 2: Convert to fraction form
   105,844/145,806 = 145,806/x
3. Step 3: Cross multiply
   105,844x = 145,806 × 145,806
4. Step 4: Simplify right side
   105,844x = 21,259,389,636
5. Step 5: Solve for x
   x = 21,259,389,636/105,844
6. Step 6: Final answer
   x = 200,855.88