Finding the Third Proportional to 204,883.50 and 311,016

Step by Step Solution

1. Step 1: Write the proportion equation
   204,883.50 : 311,016 = 311,016 : x
2. Step 2: Convert to fraction form
   204,883.50/311,016 = 311,016/x
3. Step 3: Cross multiply
   204,883.50x = 311,016 × 311,016
4. Step 4: Simplify right side
   204,883.50x = 96,730,952,256
5. Step 5: Solve for x
   x = 96,730,952,256/204,883.50
6. Step 6: Final answer
   x = 472,126.61