Finding the Third Proportional to 83,022 and 179,268

Step by Step Solution

1. Step 1: Write the proportion equation
   83,022 : 179,268 = 179,268 : x
2. Step 2: Convert to fraction form
   83,022/179,268 = 179,268/x
3. Step 3: Cross multiply
   83,022x = 179,268 × 179,268
4. Step 4: Simplify right side
   83,022x = 32,137,015,824
5. Step 5: Solve for x
   x = 32,137,015,824/83,022
6. Step 6: Final answer
   x = 387,090.36