Finding the Third Proportional to 87,874 and 181,978

Step by Step Solution

1. Step 1: Write the proportion equation
   87,874 : 181,978 = 181,978 : x
2. Step 2: Convert to fraction form
   87,874/181,978 = 181,978/x
3. Step 3: Cross multiply
   87,874x = 181,978 × 181,978
4. Step 4: Simplify right side
   87,874x = 33,115,992,484
5. Step 5: Solve for x
   x = 33,115,992,484/87,874
6. Step 6: Final answer
   x = 376,857.69