Finding the Third Proportional to 81,678 and 179,910

Step by Step Solution

1. Step 1: Write the proportion equation
   81,678 : 179,910 = 179,910 : x
2. Step 2: Convert to fraction form
   81,678/179,910 = 179,910/x
3. Step 3: Cross multiply
   81,678x = 179,910 × 179,910
4. Step 4: Simplify right side
   81,678x = 32,367,608,100
5. Step 5: Solve for x
   x = 32,367,608,100/81,678
6. Step 6: Final answer
   x = 396,283.06