Finding the Third Proportional to 138,636 and 198,105.75

Step by Step Solution

1. Step 1: Write the proportion equation
   138,636 : 198,105.75 = 198,105.75 : x
2. Step 2: Convert to fraction form
   138,636/198,105.75 = 198,105.75/x
3. Step 3: Cross multiply
   138,636x = 198,105.75 × 198,105.75
4. Step 4: Simplify right side
   138,636x = 39,245,888,183.06
5. Step 5: Solve for x
   x = 39,245,888,183.06/138,636
6. Step 6: Final answer
   x = 283,085.84