Finding the Third Proportional to 105,092 and 162,993

Step by Step Solution

1. Step 1: Write the proportion equation
   105,092 : 162,993 = 162,993 : x
2. Step 2: Convert to fraction form
   105,092/162,993 = 162,993/x
3. Step 3: Cross multiply
   105,092x = 162,993 × 162,993
4. Step 4: Simplify right side
   105,092x = 26,566,718,049
5. Step 5: Solve for x
   x = 26,566,718,049/105,092
6. Step 6: Final answer
   x = 252,794.87