Finding the Third Proportional to 105,798 and 162,051

Step by Step Solution

1. Step 1: Write the proportion equation
   105,798 : 162,051 = 162,051 : x
2. Step 2: Convert to fraction form
   105,798/162,051 = 162,051/x
3. Step 3: Cross multiply
   105,798x = 162,051 × 162,051
4. Step 4: Simplify right side
   105,798x = 26,260,526,601
5. Step 5: Solve for x
   x = 26,260,526,601/105,798
6. Step 6: Final answer
   x = 248,213.83