Finding the Third Proportional to 194,067 and 294,384

Step by Step Solution

1. Step 1: Write the proportion equation
   194,067 : 294,384 = 294,384 : x
2. Step 2: Convert to fraction form
   194,067/294,384 = 294,384/x
3. Step 3: Cross multiply
   194,067x = 294,384 × 294,384
4. Step 4: Simplify right side
   194,067x = 86,661,939,456
5. Step 5: Solve for x
   x = 86,661,939,456/194,067
6. Step 6: Final answer
   x = 446,556.80