Finding the Third Proportional to 200,147 and 309,571

Step by Step Solution

1. Step 1: Write the proportion equation
   200,147 : 309,571 = 309,571 : x
2. Step 2: Convert to fraction form
   200,147/309,571 = 309,571/x
3. Step 3: Cross multiply
   200,147x = 309,571 × 309,571
4. Step 4: Simplify right side
   200,147x = 95,834,204,041
5. Step 5: Solve for x
   x = 95,834,204,041/200,147
6. Step 6: Final answer
   x = 478,819.09