Finding the Third Proportional to 110,659.50 and 166,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,659.50 : 166,099.50 = 166,099.50 : x
2. Step 2: Convert to fraction form
   110,659.50/166,099.50 = 166,099.50/x
3. Step 3: Cross multiply
   110,659.50x = 166,099.50 × 166,099.50
4. Step 4: Simplify right side
   110,659.50x = 27,589,043,900.25
5. Step 5: Solve for x
   x = 27,589,043,900.25/110,659.50
6. Step 6: Final answer
   x = 249,314.73