Finding the Third Proportional to 103,698 and 204,958

Step by Step Solution

1. Step 1: Write the proportion equation
   103,698 : 204,958 = 204,958 : x
2. Step 2: Convert to fraction form
   103,698/204,958 = 204,958/x
3. Step 3: Cross multiply
   103,698x = 204,958 × 204,958
4. Step 4: Simplify right side
   103,698x = 42,007,781,764
5. Step 5: Solve for x
   x = 42,007,781,764/103,698
6. Step 6: Final answer
   x = 405,097.32