Finding the Third Proportional to 51,269 and 111,514

Step by Step Solution

1. Step 1: Write the proportion equation
   51,269 : 111,514 = 111,514 : x
2. Step 2: Convert to fraction form
   51,269/111,514 = 111,514/x
3. Step 3: Cross multiply
   51,269x = 111,514 × 111,514
4. Step 4: Simplify right side
   51,269x = 12,435,372,196
5. Step 5: Solve for x
   x = 12,435,372,196/51,269
6. Step 6: Final answer
   x = 242,551.49