Finding the Third Proportional to 108,658 and 166,217.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,658 : 166,217.50 = 166,217.50 : x
2. Step 2: Convert to fraction form
   108,658/166,217.50 = 166,217.50/x
3. Step 3: Cross multiply
   108,658x = 166,217.50 × 166,217.50
4. Step 4: Simplify right side
   108,658x = 27,628,257,306.25
5. Step 5: Solve for x
   x = 27,628,257,306.25/108,658
6. Step 6: Final answer
   x = 254,268.05