Finding the Third Proportional to 201,909 and 311,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,909 : 311,287.50 = 311,287.50 : x
2. Step 2: Convert to fraction form
   201,909/311,287.50 = 311,287.50/x
3. Step 3: Cross multiply
   201,909x = 311,287.50 × 311,287.50
4. Step 4: Simplify right side
   201,909x = 96,899,907,656.25
5. Step 5: Solve for x
   x = 96,899,907,656.25/201,909
6. Step 6: Final answer
   x = 479,918.71