Finding the Third Proportional to 114,408 and 175,016

Step by Step Solution

1. Step 1: Write the proportion equation
   114,408 : 175,016 = 175,016 : x
2. Step 2: Convert to fraction form
   114,408/175,016 = 175,016/x
3. Step 3: Cross multiply
   114,408x = 175,016 × 175,016
4. Step 4: Simplify right side
   114,408x = 30,630,600,256
5. Step 5: Solve for x
   x = 30,630,600,256/114,408
6. Step 6: Final answer
   x = 267,731.28