Finding the Third Proportional to 71,952 and 111,696

Step by Step Solution

1. Step 1: Write the proportion equation
   71,952 : 111,696 = 111,696 : x
2. Step 2: Convert to fraction form
   71,952/111,696 = 111,696/x
3. Step 3: Cross multiply
   71,952x = 111,696 × 111,696
4. Step 4: Simplify right side
   71,952x = 12,475,996,416
5. Step 5: Solve for x
   x = 12,475,996,416/71,952
6. Step 6: Final answer
   x = 173,393.32