Finding the Third Proportional to 82,296 and 179,802

Step by Step Solution

1. Step 1: Write the proportion equation
   82,296 : 179,802 = 179,802 : x
2. Step 2: Convert to fraction form
   82,296/179,802 = 179,802/x
3. Step 3: Cross multiply
   82,296x = 179,802 × 179,802
4. Step 4: Simplify right side
   82,296x = 32,328,759,204
5. Step 5: Solve for x
   x = 32,328,759,204/82,296
6. Step 6: Final answer
   x = 392,835.12