Finding the Third Proportional to 81,756 and 179,736

Step by Step Solution

1. Step 1: Write the proportion equation
   81,756 : 179,736 = 179,736 : x
2. Step 2: Convert to fraction form
   81,756/179,736 = 179,736/x
3. Step 3: Cross multiply
   81,756x = 179,736 × 179,736
4. Step 4: Simplify right side
   81,756x = 32,305,029,696
5. Step 5: Solve for x
   x = 32,305,029,696/81,756
6. Step 6: Final answer
   x = 395,139.56