Finding the Third Proportional to 105,166 and 162,933

Step by Step Solution

1. Step 1: Write the proportion equation
   105,166 : 162,933 = 162,933 : x
2. Step 2: Convert to fraction form
   105,166/162,933 = 162,933/x
3. Step 3: Cross multiply
   105,166x = 162,933 × 162,933
4. Step 4: Simplify right side
   105,166x = 26,547,162,489
5. Step 5: Solve for x
   x = 26,547,162,489/105,166
6. Step 6: Final answer
   x = 252,431.04