Finding the Third Proportional to 110,720 and 174,016

Step by Step Solution

1. Step 1: Write the proportion equation
   110,720 : 174,016 = 174,016 : x
2. Step 2: Convert to fraction form
   110,720/174,016 = 174,016/x
3. Step 3: Cross multiply
   110,720x = 174,016 × 174,016
4. Step 4: Simplify right side
   110,720x = 30,281,568,256
5. Step 5: Solve for x
   x = 30,281,568,256/110,720
6. Step 6: Final answer
   x = 273,496.82