Finding the Third Proportional to 72,299 and 111,267

Step by Step Solution

1. Step 1: Write the proportion equation
   72,299 : 111,267 = 111,267 : x
2. Step 2: Convert to fraction form
   72,299/111,267 = 111,267/x
3. Step 3: Cross multiply
   72,299x = 111,267 × 111,267
4. Step 4: Simplify right side
   72,299x = 12,380,345,289
5. Step 5: Solve for x
   x = 12,380,345,289/72,299
6. Step 6: Final answer
   x = 171,238.13