Finding the Third Proportional to 108,980 and 166,638

Step by Step Solution

1. Step 1: Write the proportion equation
   108,980 : 166,638 = 166,638 : x
2. Step 2: Convert to fraction form
   108,980/166,638 = 166,638/x
3. Step 3: Cross multiply
   108,980x = 166,638 × 166,638
4. Step 4: Simplify right side
   108,980x = 27,768,223,044
5. Step 5: Solve for x
   x = 27,768,223,044/108,980
6. Step 6: Final answer
   x = 254,801.09