Finding the Third Proportional to 83,089 and 181,216

Step by Step Solution

1. Step 1: Write the proportion equation
   83,089 : 181,216 = 181,216 : x
2. Step 2: Convert to fraction form
   83,089/181,216 = 181,216/x
3. Step 3: Cross multiply
   83,089x = 181,216 × 181,216
4. Step 4: Simplify right side
   83,089x = 32,839,238,656
5. Step 5: Solve for x
   x = 32,839,238,656/83,089
6. Step 6: Final answer
   x = 395,229.68