Finding the Third Proportional to 105,858 and 168,507

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 168,507 = 168,507 : x
2. Step 2: Convert to fraction form
   105,858/168,507 = 168,507/x
3. Step 3: Cross multiply
   105,858x = 168,507 × 168,507
4. Step 4: Simplify right side
   105,858x = 28,394,609,049
5. Step 5: Solve for x
   x = 28,394,609,049/105,858
6. Step 6: Final answer
   x = 268,233.00