Finding the Third Proportional to 80,416 and 175,736

Step by Step Solution

1. Step 1: Write the proportion equation
   80,416 : 175,736 = 175,736 : x
2. Step 2: Convert to fraction form
   80,416/175,736 = 175,736/x
3. Step 3: Cross multiply
   80,416x = 175,736 × 175,736
4. Step 4: Simplify right side
   80,416x = 30,883,141,696
5. Step 5: Solve for x
   x = 30,883,141,696/80,416
6. Step 6: Final answer
   x = 384,042.25