Finding the Third Proportional to 105,156 and 162,891

Step by Step Solution

1. Step 1: Write the proportion equation
   105,156 : 162,891 = 162,891 : x
2. Step 2: Convert to fraction form
   105,156/162,891 = 162,891/x
3. Step 3: Cross multiply
   105,156x = 162,891 × 162,891
4. Step 4: Simplify right side
   105,156x = 26,533,477,881
5. Step 5: Solve for x
   x = 26,533,477,881/105,156
6. Step 6: Final answer
   x = 252,324.91