Finding the Third Proportional to 200,978 and 311,054

Step by Step Solution

1. Step 1: Write the proportion equation
   200,978 : 311,054 = 311,054 : x
2. Step 2: Convert to fraction form
   200,978/311,054 = 311,054/x
3. Step 3: Cross multiply
   200,978x = 311,054 × 311,054
4. Step 4: Simplify right side
   200,978x = 96,754,590,916
5. Step 5: Solve for x
   x = 96,754,590,916/200,978
6. Step 6: Final answer
   x = 481,418.82