Finding the Third Proportional to 108,443 and 166,892

Step by Step Solution

1. Step 1: Write the proportion equation
   108,443 : 166,892 = 166,892 : x
2. Step 2: Convert to fraction form
   108,443/166,892 = 166,892/x
3. Step 3: Cross multiply
   108,443x = 166,892 × 166,892
4. Step 4: Simplify right side
   108,443x = 27,852,939,664
5. Step 5: Solve for x
   x = 27,852,939,664/108,443
6. Step 6: Final answer
   x = 256,844.05