Finding the Third Proportional to 199,539 and 271,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,539 : 271,408.50 = 271,408.50 : x
2. Step 2: Convert to fraction form
   199,539/271,408.50 = 271,408.50/x
3. Step 3: Cross multiply
   199,539x = 271,408.50 × 271,408.50
4. Step 4: Simplify right side
   199,539x = 73,662,573,872.25
5. Step 5: Solve for x
   x = 73,662,573,872.25/199,539
6. Step 6: Final answer
   x = 369,163.79