Finding the Third Proportional to 87,586 and 188,996

Step by Step Solution

1. Step 1: Write the proportion equation
   87,586 : 188,996 = 188,996 : x
2. Step 2: Convert to fraction form
   87,586/188,996 = 188,996/x
3. Step 3: Cross multiply
   87,586x = 188,996 × 188,996
4. Step 4: Simplify right side
   87,586x = 35,719,488,016
5. Step 5: Solve for x
   x = 35,719,488,016/87,586
6. Step 6: Final answer
   x = 407,821.89