Finding the Third Proportional to 110,856 and 166,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,856 : 166,114.50 = 166,114.50 : x
2. Step 2: Convert to fraction form
   110,856/166,114.50 = 166,114.50/x
3. Step 3: Cross multiply
   110,856x = 166,114.50 × 166,114.50
4. Step 4: Simplify right side
   110,856x = 27,594,027,110.25
5. Step 5: Solve for x
   x = 27,594,027,110.25/110,856
6. Step 6: Final answer
   x = 248,917.76