Finding the Third Proportional to 181,041 and 274,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,041 : 274,477.50 = 274,477.50 : x
2. Step 2: Convert to fraction form
   181,041/274,477.50 = 274,477.50/x
3. Step 3: Cross multiply
   181,041x = 274,477.50 × 274,477.50
4. Step 4: Simplify right side
   181,041x = 75,337,898,006.25
5. Step 5: Solve for x
   x = 75,337,898,006.25/181,041
6. Step 6: Final answer
   x = 416,137.22