Finding the Third Proportional to 78,256 and 111,504

Step by Step Solution

1. Step 1: Write the proportion equation
   78,256 : 111,504 = 111,504 : x
2. Step 2: Convert to fraction form
   78,256/111,504 = 111,504/x
3. Step 3: Cross multiply
   78,256x = 111,504 × 111,504
4. Step 4: Simplify right side
   78,256x = 12,433,142,016
5. Step 5: Solve for x
   x = 12,433,142,016/78,256
6. Step 6: Final answer
   x = 158,877.81