Finding the Third Proportional to 105,204 and 162,996

Step by Step Solution

1. Step 1: Write the proportion equation
   105,204 : 162,996 = 162,996 : x
2. Step 2: Convert to fraction form
   105,204/162,996 = 162,996/x
3. Step 3: Cross multiply
   105,204x = 162,996 × 162,996
4. Step 4: Simplify right side
   105,204x = 26,567,696,016
5. Step 5: Solve for x
   x = 26,567,696,016/105,204
6. Step 6: Final answer
   x = 252,535.04