Finding the Third Proportional to 108,922 and 166,588

Step by Step Solution

1. Step 1: Write the proportion equation
   108,922 : 166,588 = 166,588 : x
2. Step 2: Convert to fraction form
   108,922/166,588 = 166,588/x
3. Step 3: Cross multiply
   108,922x = 166,588 × 166,588
4. Step 4: Simplify right side
   108,922x = 27,751,561,744
5. Step 5: Solve for x
   x = 27,751,561,744/108,922
6. Step 6: Final answer
   x = 254,783.81