Finding the Third Proportional to 199,569 and 271,453.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,569 : 271,453.50 = 271,453.50 : x
2. Step 2: Convert to fraction form
   199,569/271,453.50 = 271,453.50/x
3. Step 3: Cross multiply
   199,569x = 271,453.50 × 271,453.50
4. Step 4: Simplify right side
   199,569x = 73,687,002,662.25
5. Step 5: Solve for x
   x = 73,687,002,662.25/199,569
6. Step 6: Final answer
   x = 369,230.71