Finding the Third Proportional to 200,676 and 275,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,676 : 275,179.50 = 275,179.50 : x
2. Step 2: Convert to fraction form
   200,676/275,179.50 = 275,179.50/x
3. Step 3: Cross multiply
   200,676x = 275,179.50 × 275,179.50
4. Step 4: Simplify right side
   200,676x = 75,723,757,220.25
5. Step 5: Solve for x
   x = 75,723,757,220.25/200,676
6. Step 6: Final answer
   x = 377,343.37