Finding the Third Proportional to 105,862 and 164,096

Step by Step Solution

1. Step 1: Write the proportion equation
   105,862 : 164,096 = 164,096 : x
2. Step 2: Convert to fraction form
   105,862/164,096 = 164,096/x
3. Step 3: Cross multiply
   105,862x = 164,096 × 164,096
4. Step 4: Simplify right side
   105,862x = 26,927,497,216
5. Step 5: Solve for x
   x = 26,927,497,216/105,862
6. Step 6: Final answer
   x = 254,364.15