Finding the Third Proportional to 82,605 and 181,041

Step by Step Solution

1. Step 1: Write the proportion equation
   82,605 : 181,041 = 181,041 : x
2. Step 2: Convert to fraction form
   82,605/181,041 = 181,041/x
3. Step 3: Cross multiply
   82,605x = 181,041 × 181,041
4. Step 4: Simplify right side
   82,605x = 32,775,843,681
5. Step 5: Solve for x
   x = 32,775,843,681/82,605
6. Step 6: Final answer
   x = 396,777.96