Finding the Third Proportional to 105,414.75 and 168,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,414.75 : 168,601.50 = 168,601.50 : x
2. Step 2: Convert to fraction form
   105,414.75/168,601.50 = 168,601.50/x
3. Step 3: Cross multiply
   105,414.75x = 168,601.50 × 168,601.50
4. Step 4: Simplify right side
   105,414.75x = 28,426,465,802.25
5. Step 5: Solve for x
   x = 28,426,465,802.25/105,414.75
6. Step 6: Final answer
   x = 269,663.08