Finding the Third Proportional to 72,021 and 111,393

Step by Step Solution

1. Step 1: Write the proportion equation
   72,021 : 111,393 = 111,393 : x
2. Step 2: Convert to fraction form
   72,021/111,393 = 111,393/x
3. Step 3: Cross multiply
   72,021x = 111,393 × 111,393
4. Step 4: Simplify right side
   72,021x = 12,408,400,449
5. Step 5: Solve for x
   x = 12,408,400,449/72,021
6. Step 6: Final answer
   x = 172,288.64