Finding the Third Proportional to 200,857.50 and 275,419.88

Step by Step Solution

1. Step 1: Write the proportion equation
   200,857.50 : 275,419.88 = 275,419.88 : x
2. Step 2: Convert to fraction form
   200,857.50/275,419.88 = 275,419.88/x
3. Step 3: Cross multiply
   200,857.50x = 275,419.88 × 275,419.88
4. Step 4: Simplify right side
   200,857.50x = 75,856,107,545.02
5. Step 5: Solve for x
   x = 75,856,107,545.02/200,857.50
6. Step 6: Final answer
   x = 377,661.31