Finding the Third Proportional to 105,798 and 162,018

Step by Step Solution

1. Step 1: Write the proportion equation
   105,798 : 162,018 = 162,018 : x
2. Step 2: Convert to fraction form
   105,798/162,018 = 162,018/x
3. Step 3: Cross multiply
   105,798x = 162,018 × 162,018
4. Step 4: Simplify right side
   105,798x = 26,249,832,324
5. Step 5: Solve for x
   x = 26,249,832,324/105,798
6. Step 6: Final answer
   x = 248,112.75