Finding the Third Proportional to 80,529 and 181,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,529 : 181,937.50 = 181,937.50 : x
2. Step 2: Convert to fraction form
   80,529/181,937.50 = 181,937.50/x
3. Step 3: Cross multiply
   80,529x = 181,937.50 × 181,937.50
4. Step 4: Simplify right side
   80,529x = 33,101,253,906.25
5. Step 5: Solve for x
   x = 33,101,253,906.25/80,529
6. Step 6: Final answer
   x = 411,047.62