Finding the Third Proportional to 110,976 and 171,644

Step by Step Solution

1. Step 1: Write the proportion equation
   110,976 : 171,644 = 171,644 : x
2. Step 2: Convert to fraction form
   110,976/171,644 = 171,644/x
3. Step 3: Cross multiply
   110,976x = 171,644 × 171,644
4. Step 4: Simplify right side
   110,976x = 29,461,662,736
5. Step 5: Solve for x
   x = 29,461,662,736/110,976
6. Step 6: Final answer
   x = 265,477.79