Finding the Third Proportional to 111,792 and 179,514

Step by Step Solution

1. Step 1: Write the proportion equation
   111,792 : 179,514 = 179,514 : x
2. Step 2: Convert to fraction form
   111,792/179,514 = 179,514/x
3. Step 3: Cross multiply
   111,792x = 179,514 × 179,514
4. Step 4: Simplify right side
   111,792x = 32,225,276,196
5. Step 5: Solve for x
   x = 32,225,276,196/111,792
6. Step 6: Final answer
   x = 288,261.02