Finding the Third Proportional to 105,842 and 162,134

Step by Step Solution

1. Step 1: Write the proportion equation
   105,842 : 162,134 = 162,134 : x
2. Step 2: Convert to fraction form
   105,842/162,134 = 162,134/x
3. Step 3: Cross multiply
   105,842x = 162,134 × 162,134
4. Step 4: Simplify right side
   105,842x = 26,287,433,956
5. Step 5: Solve for x
   x = 26,287,433,956/105,842
6. Step 6: Final answer
   x = 248,364.86