Finding the Third Proportional to 67,638 and 105,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,638 : 105,223.50 = 105,223.50 : x
2. Step 2: Convert to fraction form
   67,638/105,223.50 = 105,223.50/x
3. Step 3: Cross multiply
   67,638x = 105,223.50 × 105,223.50
4. Step 4: Simplify right side
   67,638x = 11,071,984,952.25
5. Step 5: Solve for x
   x = 11,071,984,952.25/67,638
6. Step 6: Final answer
   x = 163,694.74