Finding the Third Proportional to 200,888 and 311,055

Step by Step Solution

1. Step 1: Write the proportion equation
   200,888 : 311,055 = 311,055 : x
2. Step 2: Convert to fraction form
   200,888/311,055 = 311,055/x
3. Step 3: Cross multiply
   200,888x = 311,055 × 311,055
4. Step 4: Simplify right side
   200,888x = 96,755,213,025
5. Step 5: Solve for x
   x = 96,755,213,025/200,888
6. Step 6: Final answer
   x = 481,637.59