Finding the Third Proportional to 83,184 and 181,571

Step by Step Solution

1. Step 1: Write the proportion equation
   83,184 : 181,571 = 181,571 : x
2. Step 2: Convert to fraction form
   83,184/181,571 = 181,571/x
3. Step 3: Cross multiply
   83,184x = 181,571 × 181,571
4. Step 4: Simplify right side
   83,184x = 32,968,028,041
5. Step 5: Solve for x
   x = 32,968,028,041/83,184
6. Step 6: Final answer
   x = 396,326.55