Finding the Third Proportional to 154,333 and 204,834

Step by Step Solution

1. Step 1: Write the proportion equation
   154,333 : 204,834 = 204,834 : x
2. Step 2: Convert to fraction form
   154,333/204,834 = 204,834/x
3. Step 3: Cross multiply
   154,333x = 204,834 × 204,834
4. Step 4: Simplify right side
   154,333x = 41,956,967,556
5. Step 5: Solve for x
   x = 41,956,967,556/154,333
6. Step 6: Final answer
   x = 271,859.99