Finding the Third Proportional to 82,458 and 179,730

Step by Step Solution

1. Step 1: Write the proportion equation
   82,458 : 179,730 = 179,730 : x
2. Step 2: Convert to fraction form
   82,458/179,730 = 179,730/x
3. Step 3: Cross multiply
   82,458x = 179,730 × 179,730
4. Step 4: Simplify right side
   82,458x = 32,302,872,900
5. Step 5: Solve for x
   x = 32,302,872,900/82,458
6. Step 6: Final answer
   x = 391,749.41