Finding the Third Proportional to 83,022 and 181,627

Step by Step Solution

1. Step 1: Write the proportion equation
   83,022 : 181,627 = 181,627 : x
2. Step 2: Convert to fraction form
   83,022/181,627 = 181,627/x
3. Step 3: Cross multiply
   83,022x = 181,627 × 181,627
4. Step 4: Simplify right side
   83,022x = 32,988,367,129
5. Step 5: Solve for x
   x = 32,988,367,129/83,022
6. Step 6: Final answer
   x = 397,344.89