Finding the Third Proportional to 105,770 and 162,004

Step by Step Solution

1. Step 1: Write the proportion equation
   105,770 : 162,004 = 162,004 : x
2. Step 2: Convert to fraction form
   105,770/162,004 = 162,004/x
3. Step 3: Cross multiply
   105,770x = 162,004 × 162,004
4. Step 4: Simplify right side
   105,770x = 26,245,296,016
5. Step 5: Solve for x
   x = 26,245,296,016/105,770
6. Step 6: Final answer
   x = 248,135.54