Finding the Third Proportional to 200,952 and 311,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   200,952 : 311,019.75 = 311,019.75 : x
2. Step 2: Convert to fraction form
   200,952/311,019.75 = 311,019.75/x
3. Step 3: Cross multiply
   200,952x = 311,019.75 × 311,019.75
4. Step 4: Simplify right side
   200,952x = 96,733,284,890.06
5. Step 5: Solve for x
   x = 96,733,284,890.06/200,952
6. Step 6: Final answer
   x = 481,375.08