Finding the Third Proportional to 199,542 and 271,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,542 : 271,414.50 = 271,414.50 : x
2. Step 2: Convert to fraction form
   199,542/271,414.50 = 271,414.50/x
3. Step 3: Cross multiply
   199,542x = 271,414.50 × 271,414.50
4. Step 4: Simplify right side
   199,542x = 73,665,830,810.25
5. Step 5: Solve for x
   x = 73,665,830,810.25/199,542
6. Step 6: Final answer
   x = 369,174.56