Finding the Third Proportional to 200,676 and 309,834

Step by Step Solution

1. Step 1: Write the proportion equation
   200,676 : 309,834 = 309,834 : x
2. Step 2: Convert to fraction form
   200,676/309,834 = 309,834/x
3. Step 3: Cross multiply
   200,676x = 309,834 × 309,834
4. Step 4: Simplify right side
   200,676x = 95,997,107,556
5. Step 5: Solve for x
   x = 95,997,107,556/200,676
6. Step 6: Final answer
   x = 478,368.65