Finding the Third Proportional to 78,384 and 111,984

Step by Step Solution

1. Step 1: Write the proportion equation
   78,384 : 111,984 = 111,984 : x
2. Step 2: Convert to fraction form
   78,384/111,984 = 111,984/x
3. Step 3: Cross multiply
   78,384x = 111,984 × 111,984
4. Step 4: Simplify right side
   78,384x = 12,540,416,256
5. Step 5: Solve for x
   x = 12,540,416,256/78,384
6. Step 6: Final answer
   x = 159,986.94