Finding the Third Proportional to 111,264 and 172,176

Step by Step Solution

1. Step 1: Write the proportion equation
   111,264 : 172,176 = 172,176 : x
2. Step 2: Convert to fraction form
   111,264/172,176 = 172,176/x
3. Step 3: Cross multiply
   111,264x = 172,176 × 172,176
4. Step 4: Simplify right side
   111,264x = 29,644,574,976
5. Step 5: Solve for x
   x = 29,644,574,976/111,264
6. Step 6: Final answer
   x = 266,434.56