Finding the Third Proportional to 200,983 and 311,061

Step by Step Solution

1. Step 1: Write the proportion equation
   200,983 : 311,061 = 311,061 : x
2. Step 2: Convert to fraction form
   200,983/311,061 = 311,061/x
3. Step 3: Cross multiply
   200,983x = 311,061 × 311,061
4. Step 4: Simplify right side
   200,983x = 96,758,945,721
5. Step 5: Solve for x
   x = 96,758,945,721/200,983
6. Step 6: Final answer
   x = 481,428.51