Finding the Third Proportional to 108,801 and 166,446

Step by Step Solution

1. Step 1: Write the proportion equation
   108,801 : 166,446 = 166,446 : x
2. Step 2: Convert to fraction form
   108,801/166,446 = 166,446/x
3. Step 3: Cross multiply
   108,801x = 166,446 × 166,446
4. Step 4: Simplify right side
   108,801x = 27,704,270,916
5. Step 5: Solve for x
   x = 27,704,270,916/108,801
6. Step 6: Final answer
   x = 254,632.50