Finding the Third Proportional to 87,894 and 182,016

Step by Step Solution

1. Step 1: Write the proportion equation
   87,894 : 182,016 = 182,016 : x
2. Step 2: Convert to fraction form
   87,894/182,016 = 182,016/x
3. Step 3: Cross multiply
   87,894x = 182,016 × 182,016
4. Step 4: Simplify right side
   87,894x = 33,129,824,256
5. Step 5: Solve for x
   x = 33,129,824,256/87,894
6. Step 6: Final answer
   x = 376,929.30