Finding the Third Proportional to 83,110 and 181,799

Step by Step Solution

1. Step 1: Write the proportion equation
   83,110 : 181,799 = 181,799 : x
2. Step 2: Convert to fraction form
   83,110/181,799 = 181,799/x
3. Step 3: Cross multiply
   83,110x = 181,799 × 181,799
4. Step 4: Simplify right side
   83,110x = 33,050,876,401
5. Step 5: Solve for x
   x = 33,050,876,401/83,110
6. Step 6: Final answer
   x = 397,676.29