Finding the Third Proportional to 87,768 and 185,996

Step by Step Solution

1. Step 1: Write the proportion equation
   87,768 : 185,996 = 185,996 : x
2. Step 2: Convert to fraction form
   87,768/185,996 = 185,996/x
3. Step 3: Cross multiply
   87,768x = 185,996 × 185,996
4. Step 4: Simplify right side
   87,768x = 34,594,512,016
5. Step 5: Solve for x
   x = 34,594,512,016/87,768
6. Step 6: Final answer
   x = 394,158.60