Finding the Third Proportional to 82,384 and 179,870

Step by Step Solution

1. Step 1: Write the proportion equation
   82,384 : 179,870 = 179,870 : x
2. Step 2: Convert to fraction form
   82,384/179,870 = 179,870/x
3. Step 3: Cross multiply
   82,384x = 179,870 × 179,870
4. Step 4: Simplify right side
   82,384x = 32,353,216,900
5. Step 5: Solve for x
   x = 32,353,216,900/82,384
6. Step 6: Final answer
   x = 392,712.38