Finding the Third Proportional to 108,986 and 166,648

Step by Step Solution

1. Step 1: Write the proportion equation
   108,986 : 166,648 = 166,648 : x
2. Step 2: Convert to fraction form
   108,986/166,648 = 166,648/x
3. Step 3: Cross multiply
   108,986x = 166,648 × 166,648
4. Step 4: Simplify right side
   108,986x = 27,771,555,904
5. Step 5: Solve for x
   x = 27,771,555,904/108,986
6. Step 6: Final answer
   x = 254,817.65