Finding the Third Proportional to 90,096 and 185,904

Step by Step Solution

1. Step 1: Write the proportion equation
   90,096 : 185,904 = 185,904 : x
2. Step 2: Convert to fraction form
   90,096/185,904 = 185,904/x
3. Step 3: Cross multiply
   90,096x = 185,904 × 185,904
4. Step 4: Simplify right side
   90,096x = 34,560,297,216
5. Step 5: Solve for x
   x = 34,560,297,216/90,096
6. Step 6: Final answer
   x = 383,594.14