Finding the Third Proportional to 166,096 and 250,872

Step by Step Solution

1. Step 1: Write the proportion equation
   166,096 : 250,872 = 250,872 : x
2. Step 2: Convert to fraction form
   166,096/250,872 = 250,872/x
3. Step 3: Cross multiply
   166,096x = 250,872 × 250,872
4. Step 4: Simplify right side
   166,096x = 62,936,760,384
5. Step 5: Solve for x
   x = 62,936,760,384/166,096
6. Step 6: Final answer
   x = 378,917.98