Finding the Third Proportional to 82,489.25 and 179,788

Step by Step Solution

1. Step 1: Write the proportion equation
   82,489.25 : 179,788 = 179,788 : x
2. Step 2: Convert to fraction form
   82,489.25/179,788 = 179,788/x
3. Step 3: Cross multiply
   82,489.25x = 179,788 × 179,788
4. Step 4: Simplify right side
   82,489.25x = 32,323,724,944
5. Step 5: Solve for x
   x = 32,323,724,944/82,489.25
6. Step 6: Final answer
   x = 391,853.79