Finding the Third Proportional to 181,540 and 271,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,540 : 271,216.50 = 271,216.50 : x
2. Step 2: Convert to fraction form
   181,540/271,216.50 = 271,216.50/x
3. Step 3: Cross multiply
   181,540x = 271,216.50 × 271,216.50
4. Step 4: Simplify right side
   181,540x = 73,558,389,872.25
5. Step 5: Solve for x
   x = 73,558,389,872.25/181,540
6. Step 6: Final answer
   x = 405,191.09