Finding the Third Proportional to 73,638 and 111,285

Step by Step Solution

1. Step 1: Write the proportion equation
   73,638 : 111,285 = 111,285 : x
2. Step 2: Convert to fraction form
   73,638/111,285 = 111,285/x
3. Step 3: Cross multiply
   73,638x = 111,285 × 111,285
4. Step 4: Simplify right side
   73,638x = 12,384,351,225
5. Step 5: Solve for x
   x = 12,384,351,225/73,638
6. Step 6: Final answer
   x = 168,178.81