Finding the Third Proportional to 200,682 and 309,843

Step by Step Solution

1. Step 1: Write the proportion equation
   200,682 : 309,843 = 309,843 : x
2. Step 2: Convert to fraction form
   200,682/309,843 = 309,843/x
3. Step 3: Cross multiply
   200,682x = 309,843 × 309,843
4. Step 4: Simplify right side
   200,682x = 96,002,684,649
5. Step 5: Solve for x
   x = 96,002,684,649/200,682
6. Step 6: Final answer
   x = 478,382.14