Finding the Third Proportional to 83,997 and 181,367

Step by Step Solution

1. Step 1: Write the proportion equation
   83,997 : 181,367 = 181,367 : x
2. Step 2: Convert to fraction form
   83,997/181,367 = 181,367/x
3. Step 3: Cross multiply
   83,997x = 181,367 × 181,367
4. Step 4: Simplify right side
   83,997x = 32,893,988,689
5. Step 5: Solve for x
   x = 32,893,988,689/83,997
6. Step 6: Final answer
   x = 391,609.09