Finding the Third Proportional to 83,305 and 181,401

Step by Step Solution

1. Step 1: Write the proportion equation
   83,305 : 181,401 = 181,401 : x
2. Step 2: Convert to fraction form
   83,305/181,401 = 181,401/x
3. Step 3: Cross multiply
   83,305x = 181,401 × 181,401
4. Step 4: Simplify right side
   83,305x = 32,906,322,801
5. Step 5: Solve for x
   x = 32,906,322,801/83,305
6. Step 6: Final answer
   x = 395,010.18