Finding the Third Proportional to 178,514 and 294,078

Step by Step Solution

1. Step 1: Write the proportion equation
   178,514 : 294,078 = 294,078 : x
2. Step 2: Convert to fraction form
   178,514/294,078 = 294,078/x
3. Step 3: Cross multiply
   178,514x = 294,078 × 294,078
4. Step 4: Simplify right side
   178,514x = 86,481,870,084
5. Step 5: Solve for x
   x = 86,481,870,084/178,514
6. Step 6: Final answer
   x = 484,454.27