Finding the Third Proportional to 108,829.50 and 166,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,829.50 : 166,369.50 = 166,369.50 : x
2. Step 2: Convert to fraction form
   108,829.50/166,369.50 = 166,369.50/x
3. Step 3: Cross multiply
   108,829.50x = 166,369.50 × 166,369.50
4. Step 4: Simplify right side
   108,829.50x = 27,678,810,530.25
5. Step 5: Solve for x
   x = 27,678,810,530.25/108,829.50
6. Step 6: Final answer
   x = 254,331.87