Finding the Third Proportional to 59,778 and 132,678

Step by Step Solution

1. Step 1: Write the proportion equation
   59,778 : 132,678 = 132,678 : x
2. Step 2: Convert to fraction form
   59,778/132,678 = 132,678/x
3. Step 3: Cross multiply
   59,778x = 132,678 × 132,678
4. Step 4: Simplify right side
   59,778x = 17,603,451,684
5. Step 5: Solve for x
   x = 17,603,451,684/59,778
6. Step 6: Final answer
   x = 294,480.44