Finding the Third Proportional to 83,446 and 181,049

Step by Step Solution

1. Step 1: Write the proportion equation
   83,446 : 181,049 = 181,049 : x
2. Step 2: Convert to fraction form
   83,446/181,049 = 181,049/x
3. Step 3: Cross multiply
   83,446x = 181,049 × 181,049
4. Step 4: Simplify right side
   83,446x = 32,778,740,401
5. Step 5: Solve for x
   x = 32,778,740,401/83,446
6. Step 6: Final answer
   x = 392,813.80