Finding the Third Proportional to 82,364 and 179,834

Step by Step Solution

1. Step 1: Write the proportion equation
   82,364 : 179,834 = 179,834 : x
2. Step 2: Convert to fraction form
   82,364/179,834 = 179,834/x
3. Step 3: Cross multiply
   82,364x = 179,834 × 179,834
4. Step 4: Simplify right side
   82,364x = 32,340,267,556
5. Step 5: Solve for x
   x = 32,340,267,556/82,364
6. Step 6: Final answer
   x = 392,650.52