Finding the Third Proportional to 105,786 and 162,036

Step by Step Solution

1. Step 1: Write the proportion equation
   105,786 : 162,036 = 162,036 : x
2. Step 2: Convert to fraction form
   105,786/162,036 = 162,036/x
3. Step 3: Cross multiply
   105,786x = 162,036 × 162,036
4. Step 4: Simplify right side
   105,786x = 26,255,665,296
5. Step 5: Solve for x
   x = 26,255,665,296/105,786
6. Step 6: Final answer
   x = 248,196.03