Finding the Third Proportional to 111,798 and 166,176

Step by Step Solution

1. Step 1: Write the proportion equation
   111,798 : 166,176 = 166,176 : x
2. Step 2: Convert to fraction form
   111,798/166,176 = 166,176/x
3. Step 3: Cross multiply
   111,798x = 166,176 × 166,176
4. Step 4: Simplify right side
   111,798x = 27,614,462,976
5. Step 5: Solve for x
   x = 27,614,462,976/111,798
6. Step 6: Final answer
   x = 247,003.19