Finding the Third Proportional to 105,464 and 162,852

Step by Step Solution

1. Step 1: Write the proportion equation
   105,464 : 162,852 = 162,852 : x
2. Step 2: Convert to fraction form
   105,464/162,852 = 162,852/x
3. Step 3: Cross multiply
   105,464x = 162,852 × 162,852
4. Step 4: Simplify right side
   105,464x = 26,520,773,904
5. Step 5: Solve for x
   x = 26,520,773,904/105,464
6. Step 6: Final answer
   x = 251,467.55