Finding the Third Proportional to 105,160 and 162,924

Step by Step Solution

1. Step 1: Write the proportion equation
   105,160 : 162,924 = 162,924 : x
2. Step 2: Convert to fraction form
   105,160/162,924 = 162,924/x
3. Step 3: Cross multiply
   105,160x = 162,924 × 162,924
4. Step 4: Simplify right side
   105,160x = 26,544,229,776
5. Step 5: Solve for x
   x = 26,544,229,776/105,160
6. Step 6: Final answer
   x = 252,417.55