Finding the Third Proportional to 82,604 and 181,039

Step by Step Solution

1. Step 1: Write the proportion equation
   82,604 : 181,039 = 181,039 : x
2. Step 2: Convert to fraction form
   82,604/181,039 = 181,039/x
3. Step 3: Cross multiply
   82,604x = 181,039 × 181,039
4. Step 4: Simplify right side
   82,604x = 32,775,119,521
5. Step 5: Solve for x
   x = 32,775,119,521/82,604
6. Step 6: Final answer
   x = 396,774.00