Finding the Third Proportional to 105,714 and 161,922

Step by Step Solution

1. Step 1: Write the proportion equation
   105,714 : 161,922 = 161,922 : x
2. Step 2: Convert to fraction form
   105,714/161,922 = 161,922/x
3. Step 3: Cross multiply
   105,714x = 161,922 × 161,922
4. Step 4: Simplify right side
   105,714x = 26,218,734,084
5. Step 5: Solve for x
   x = 26,218,734,084/105,714
6. Step 6: Final answer
   x = 248,015.72