Finding the Third Proportional to 200,676 and 311,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,676 : 311,719.50 = 311,719.50 : x
2. Step 2: Convert to fraction form
   200,676/311,719.50 = 311,719.50/x
3. Step 3: Cross multiply
   200,676x = 311,719.50 × 311,719.50
4. Step 4: Simplify right side
   200,676x = 97,169,046,680.25
5. Step 5: Solve for x
   x = 97,169,046,680.25/200,676
6. Step 6: Final answer
   x = 484,208.61