Finding the Third Proportional to 294,144 and 414,215

Step by Step Solution

1. Step 1: Write the proportion equation
   294,144 : 414,215 = 414,215 : x
2. Step 2: Convert to fraction form
   294,144/414,215 = 414,215/x
3. Step 3: Cross multiply
   294,144x = 414,215 × 414,215
4. Step 4: Simplify right side
   294,144x = 171,574,066,225
5. Step 5: Solve for x
   x = 171,574,066,225/294,144
6. Step 6: Final answer
   x = 583,299.56