Finding the Third Proportional to 108,852 and 166,521

Step by Step Solution

1. Step 1: Write the proportion equation
   108,852 : 166,521 = 166,521 : x
2. Step 2: Convert to fraction form
   108,852/166,521 = 166,521/x
3. Step 3: Cross multiply
   108,852x = 166,521 × 166,521
4. Step 4: Simplify right side
   108,852x = 27,729,243,441
5. Step 5: Solve for x
   x = 27,729,243,441/108,852
6. Step 6: Final answer
   x = 254,742.62