Finding the Third Proportional to 200,055 and 309,561

Step by Step Solution

1. Step 1: Write the proportion equation
   200,055 : 309,561 = 309,561 : x
2. Step 2: Convert to fraction form
   200,055/309,561 = 309,561/x
3. Step 3: Cross multiply
   200,055x = 309,561 × 309,561
4. Step 4: Simplify right side
   200,055x = 95,828,012,721
5. Step 5: Solve for x
   x = 95,828,012,721/200,055
6. Step 6: Final answer
   x = 479,008.34