Finding the Third Proportional to 71,696 and 111,288

Step by Step Solution

1. Step 1: Write the proportion equation
   71,696 : 111,288 = 111,288 : x
2. Step 2: Convert to fraction form
   71,696/111,288 = 111,288/x
3. Step 3: Cross multiply
   71,696x = 111,288 × 111,288
4. Step 4: Simplify right side
   71,696x = 12,385,018,944
5. Step 5: Solve for x
   x = 12,385,018,944/71,696
6. Step 6: Final answer
   x = 172,743.51