Finding the Third Proportional to 108,666 and 166,227.75

Step by Step Solution

1. Step 1: Write the proportion equation
   108,666 : 166,227.75 = 166,227.75 : x
2. Step 2: Convert to fraction form
   108,666/166,227.75 = 166,227.75/x
3. Step 3: Cross multiply
   108,666x = 166,227.75 × 166,227.75
4. Step 4: Simplify right side
   108,666x = 27,631,664,870.06
5. Step 5: Solve for x
   x = 27,631,664,870.06/108,666
6. Step 6: Final answer
   x = 254,280.68