Finding the Third Proportional to 110,229.50 and 164,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,229.50 : 164,914.50 = 164,914.50 : x
2. Step 2: Convert to fraction form
   110,229.50/164,914.50 = 164,914.50/x
3. Step 3: Cross multiply
   110,229.50x = 164,914.50 × 164,914.50
4. Step 4: Simplify right side
   110,229.50x = 27,196,792,310.25
5. Step 5: Solve for x
   x = 27,196,792,310.25/110,229.50
6. Step 6: Final answer
   x = 246,728.80