Finding the Third Proportional to 87,896 and 182,022

Step by Step Solution

1. Step 1: Write the proportion equation
   87,896 : 182,022 = 182,022 : x
2. Step 2: Convert to fraction form
   87,896/182,022 = 182,022/x
3. Step 3: Cross multiply
   87,896x = 182,022 × 182,022
4. Step 4: Simplify right side
   87,896x = 33,132,008,484
5. Step 5: Solve for x
   x = 33,132,008,484/87,896
6. Step 6: Final answer
   x = 376,945.58