Finding the Third Proportional to 105,800 and 162,054

Step by Step Solution

1. Step 1: Write the proportion equation
   105,800 : 162,054 = 162,054 : x
2. Step 2: Convert to fraction form
   105,800/162,054 = 162,054/x
3. Step 3: Cross multiply
   105,800x = 162,054 × 162,054
4. Step 4: Simplify right side
   105,800x = 26,261,498,916
5. Step 5: Solve for x
   x = 26,261,498,916/105,800
6. Step 6: Final answer
   x = 248,218.33