Finding the Third Proportional to 71,658 and 111,330

Step by Step Solution

1. Step 1: Write the proportion equation
   71,658 : 111,330 = 111,330 : x
2. Step 2: Convert to fraction form
   71,658/111,330 = 111,330/x
3. Step 3: Cross multiply
   71,658x = 111,330 × 111,330
4. Step 4: Simplify right side
   71,658x = 12,394,368,900
5. Step 5: Solve for x
   x = 12,394,368,900/71,658
6. Step 6: Final answer
   x = 172,965.60