Finding the Third Proportional to 200,286 and 311,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,286 : 311,917.50 = 311,917.50 : x
2. Step 2: Convert to fraction form
   200,286/311,917.50 = 311,917.50/x
3. Step 3: Cross multiply
   200,286x = 311,917.50 × 311,917.50
4. Step 4: Simplify right side
   200,286x = 97,292,526,806.25
5. Step 5: Solve for x
   x = 97,292,526,806.25/200,286
6. Step 6: Final answer
   x = 485,767.99