Finding the Third Proportional to 105,879 and 168,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,879 : 168,538.50 = 168,538.50 : x
2. Step 2: Convert to fraction form
   105,879/168,538.50 = 168,538.50/x
3. Step 3: Cross multiply
   105,879x = 168,538.50 × 168,538.50
4. Step 4: Simplify right side
   105,879x = 28,405,225,982.25
5. Step 5: Solve for x
   x = 28,405,225,982.25/105,879
6. Step 6: Final answer
   x = 268,280.07