Finding the Third Proportional to 194,736 and 298,923

Step by Step Solution

1. Step 1: Write the proportion equation
   194,736 : 298,923 = 298,923 : x
2. Step 2: Convert to fraction form
   194,736/298,923 = 298,923/x
3. Step 3: Cross multiply
   194,736x = 298,923 × 298,923
4. Step 4: Simplify right side
   194,736x = 89,354,959,929
5. Step 5: Solve for x
   x = 89,354,959,929/194,736
6. Step 6: Final answer
   x = 458,851.78