Finding the Third Proportional to 108,674 and 166,240

Step by Step Solution

1. Step 1: Write the proportion equation
   108,674 : 166,240 = 166,240 : x
2. Step 2: Convert to fraction form
   108,674/166,240 = 166,240/x
3. Step 3: Cross multiply
   108,674x = 166,240 × 166,240
4. Step 4: Simplify right side
   108,674x = 27,635,737,600
5. Step 5: Solve for x
   x = 27,635,737,600/108,674
6. Step 6: Final answer
   x = 254,299.44