Finding the Third Proportional to 200,326 and 309,770

Step by Step Solution

1. Step 1: Write the proportion equation
   200,326 : 309,770 = 309,770 : x
2. Step 2: Convert to fraction form
   200,326/309,770 = 309,770/x
3. Step 3: Cross multiply
   200,326x = 309,770 × 309,770
4. Step 4: Simplify right side
   200,326x = 95,957,452,900
5. Step 5: Solve for x
   x = 95,957,452,900/200,326
6. Step 6: Final answer
   x = 479,006.48