Finding the Third Proportional to 164,692 and 335,216

Step by Step Solution

1. Step 1: Write the proportion equation
   164,692 : 335,216 = 335,216 : x
2. Step 2: Convert to fraction form
   164,692/335,216 = 335,216/x
3. Step 3: Cross multiply
   164,692x = 335,216 × 335,216
4. Step 4: Simplify right side
   164,692x = 112,369,766,656
5. Step 5: Solve for x
   x = 112,369,766,656/164,692
6. Step 6: Final answer
   x = 682,302.52