Finding the Third Proportional to 105,468 and 162,858

Step by Step Solution

1. Step 1: Write the proportion equation
   105,468 : 162,858 = 162,858 : x
2. Step 2: Convert to fraction form
   105,468/162,858 = 162,858/x
3. Step 3: Cross multiply
   105,468x = 162,858 × 162,858
4. Step 4: Simplify right side
   105,468x = 26,522,728,164
5. Step 5: Solve for x
   x = 26,522,728,164/105,468
6. Step 6: Final answer
   x = 251,476.54