Finding the Third Proportional to 87,824 and 188,986

Step by Step Solution

1. Step 1: Write the proportion equation
   87,824 : 188,986 = 188,986 : x
2. Step 2: Convert to fraction form
   87,824/188,986 = 188,986/x
3. Step 3: Cross multiply
   87,824x = 188,986 × 188,986
4. Step 4: Simplify right side
   87,824x = 35,715,708,196
5. Step 5: Solve for x
   x = 35,715,708,196/87,824
6. Step 6: Final answer
   x = 406,673.67