Finding the Third Proportional to 105,942 and 168,633

Step by Step Solution

1. Step 1: Write the proportion equation
   105,942 : 168,633 = 168,633 : x
2. Step 2: Convert to fraction form
   105,942/168,633 = 168,633/x
3. Step 3: Cross multiply
   105,942x = 168,633 × 168,633
4. Step 4: Simplify right side
   105,942x = 28,437,088,689
5. Step 5: Solve for x
   x = 28,437,088,689/105,942
6. Step 6: Final answer
   x = 268,421.29