Finding the Third Proportional to 105,847 and 162,143

Step by Step Solution

1. Step 1: Write the proportion equation
   105,847 : 162,143 = 162,143 : x
2. Step 2: Convert to fraction form
   105,847/162,143 = 162,143/x
3. Step 3: Cross multiply
   105,847x = 162,143 × 162,143
4. Step 4: Simplify right side
   105,847x = 26,290,352,449
5. Step 5: Solve for x
   x = 26,290,352,449/105,847
6. Step 6: Final answer
   x = 248,380.70