Finding the Third Proportional to 206,995 and 311,515.50

Step by Step Solution

1. Step 1: Write the proportion equation
   206,995 : 311,515.50 = 311,515.50 : x
2. Step 2: Convert to fraction form
   206,995/311,515.50 = 311,515.50/x
3. Step 3: Cross multiply
   206,995x = 311,515.50 × 311,515.50
4. Step 4: Simplify right side
   206,995x = 97,041,906,740.25
5. Step 5: Solve for x
   x = 97,041,906,740.25/206,995
6. Step 6: Final answer
   x = 468,812.81