Finding the Third Proportional to 164,680 and 335,180

Step by Step Solution

1. Step 1: Write the proportion equation
   164,680 : 335,180 = 335,180 : x
2. Step 2: Convert to fraction form
   164,680/335,180 = 335,180/x
3. Step 3: Cross multiply
   164,680x = 335,180 × 335,180
4. Step 4: Simplify right side
   164,680x = 112,345,632,400
5. Step 5: Solve for x
   x = 112,345,632,400/164,680
6. Step 6: Final answer
   x = 682,205.69