Finding the Third Proportional to 200,689 and 275,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,689 : 275,199.50 = 275,199.50 : x
2. Step 2: Convert to fraction form
   200,689/275,199.50 = 275,199.50/x
3. Step 3: Cross multiply
   200,689x = 275,199.50 × 275,199.50
4. Step 4: Simplify right side
   200,689x = 75,734,764,800.25
5. Step 5: Solve for x
   x = 75,734,764,800.25/200,689
6. Step 6: Final answer
   x = 377,373.77