Finding the Third Proportional to 182,737 and 274,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,737 : 274,105.50 = 274,105.50 : x
2. Step 2: Convert to fraction form
   182,737/274,105.50 = 274,105.50/x
3. Step 3: Cross multiply
   182,737x = 274,105.50 × 274,105.50
4. Step 4: Simplify right side
   182,737x = 75,133,825,130.25
5. Step 5: Solve for x
   x = 75,133,825,130.25/182,737
6. Step 6: Final answer
   x = 411,158.25