Finding the Third Proportional to 78,384 and 111,696

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 111,696 = 111,696 : x
2. Step 2: Convert to fraction form
   78,384/111,696 = 111,696/x
3. Step 3: Cross multiply
   78,384x = 111,696 × 111,696
4. Step 4: Simplify right side
   78,384x = 12,475,996,416
5. Step 5: Solve for x
   x = 12,475,996,416/78,384
6. Step 6: Final answer
   x = 159,165.09