Finding the Third Proportional to 71,376 and 111,016

Step by Step Solution

1. Step 1: Write the proportion equation
   71,376 : 111,016 = 111,016 : x
2. Step 2: Convert to fraction form
   71,376/111,016 = 111,016/x
3. Step 3: Cross multiply
   71,376x = 111,016 × 111,016
4. Step 4: Simplify right side
   71,376x = 12,324,552,256
5. Step 5: Solve for x
   x = 12,324,552,256/71,376
6. Step 6: Final answer
   x = 172,670.82