Finding the Third Proportional to 103,694 and 204,950

Step by Step Solution

1. Step 1: Write the proportion equation
   103,694 : 204,950 = 204,950 : x
2. Step 2: Convert to fraction form
   103,694/204,950 = 204,950/x
3. Step 3: Cross multiply
   103,694x = 204,950 × 204,950
4. Step 4: Simplify right side
   103,694x = 42,004,502,500
5. Step 5: Solve for x
   x = 42,004,502,500/103,694
6. Step 6: Final answer
   x = 405,081.32