Finding the Third Proportional to 105,688.50 and 163,836

Step by Step Solution

1. Step 1: Write the proportion equation
   105,688.50 : 163,836 = 163,836 : x
2. Step 2: Convert to fraction form
   105,688.50/163,836 = 163,836/x
3. Step 3: Cross multiply
   105,688.50x = 163,836 × 163,836
4. Step 4: Simplify right side
   105,688.50x = 26,842,234,896
5. Step 5: Solve for x
   x = 26,842,234,896/105,688.50
6. Step 6: Final answer
   x = 253,974.98