Finding the Third Proportional to 80,532 and 181,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,532 : 181,942.50 = 181,942.50 : x
2. Step 2: Convert to fraction form
   80,532/181,942.50 = 181,942.50/x
3. Step 3: Cross multiply
   80,532x = 181,942.50 × 181,942.50
4. Step 4: Simplify right side
   80,532x = 33,103,073,306.25
5. Step 5: Solve for x
   x = 33,103,073,306.25/80,532
6. Step 6: Final answer
   x = 411,054.90