Finding the Third Proportional to 87,831 and 188,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,831 : 188,986.50 = 188,986.50 : x
2. Step 2: Convert to fraction form
   87,831/188,986.50 = 188,986.50/x
3. Step 3: Cross multiply
   87,831x = 188,986.50 × 188,986.50
4. Step 4: Simplify right side
   87,831x = 35,715,897,182.25
5. Step 5: Solve for x
   x = 35,715,897,182.25/87,831
6. Step 6: Final answer
   x = 406,643.41