Finding the Third Proportional to 103,613 and 204,800

Step by Step Solution

1. Step 1: Write the proportion equation
   103,613 : 204,800 = 204,800 : x
2. Step 2: Convert to fraction form
   103,613/204,800 = 204,800/x
3. Step 3: Cross multiply
   103,613x = 204,800 × 204,800
4. Step 4: Simplify right side
   103,613x = 41,943,040,000
5. Step 5: Solve for x
   x = 41,943,040,000/103,613
6. Step 6: Final answer
   x = 404,804.80