Finding the Third Proportional to 41,778 and 86,322

Step by Step Solution

1. Step 1: Write the proportion equation
   41,778 : 86,322 = 86,322 : x
2. Step 2: Convert to fraction form
   41,778/86,322 = 86,322/x
3. Step 3: Cross multiply
   41,778x = 86,322 × 86,322
4. Step 4: Simplify right side
   41,778x = 7,451,487,684
5. Step 5: Solve for x
   x = 7,451,487,684/41,778
6. Step 6: Final answer
   x = 178,359.13