Finding the Third Proportional to 80,746 and 164,766

Step by Step Solution

1. Step 1: Write the proportion equation
   80,746 : 164,766 = 164,766 : x
2. Step 2: Convert to fraction form
   80,746/164,766 = 164,766/x
3. Step 3: Cross multiply
   80,746x = 164,766 × 164,766
4. Step 4: Simplify right side
   80,746x = 27,147,834,756
5. Step 5: Solve for x
   x = 27,147,834,756/80,746
6. Step 6: Final answer
   x = 336,212.75