Finding the Third Proportional to 103,669 and 204,900

Step by Step Solution

1. Step 1: Write the proportion equation
   103,669 : 204,900 = 204,900 : x
2. Step 2: Convert to fraction form
   103,669/204,900 = 204,900/x
3. Step 3: Cross multiply
   103,669x = 204,900 × 204,900
4. Step 4: Simplify right side
   103,669x = 41,984,010,000
5. Step 5: Solve for x
   x = 41,984,010,000/103,669
6. Step 6: Final answer
   x = 404,981.33