Finding the Third Proportional to 82,337 and 179,401

Step by Step Solution

1. Step 1: Write the proportion equation
   82,337 : 179,401 = 179,401 : x
2. Step 2: Convert to fraction form
   82,337/179,401 = 179,401/x
3. Step 3: Cross multiply
   82,337x = 179,401 × 179,401
4. Step 4: Simplify right side
   82,337x = 32,184,718,801
5. Step 5: Solve for x
   x = 32,184,718,801/82,337
6. Step 6: Final answer
   x = 390,890.11