Finding the Third Proportional to 36,229.50 and 78,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,229.50 : 78,664.50 = 78,664.50 : x
2. Step 2: Convert to fraction form
   36,229.50/78,664.50 = 78,664.50/x
3. Step 3: Cross multiply
   36,229.50x = 78,664.50 × 78,664.50
4. Step 4: Simplify right side
   36,229.50x = 6,188,103,560.25
5. Step 5: Solve for x
   x = 6,188,103,560.25/36,229.50
6. Step 6: Final answer
   x = 170,802.90