Finding the Third Proportional to 300,024 and 421,968

Step by Step Solution

1. Step 1: Write the proportion equation
   300,024 : 421,968 = 421,968 : x
2. Step 2: Convert to fraction form
   300,024/421,968 = 421,968/x
3. Step 3: Cross multiply
   300,024x = 421,968 × 421,968
4. Step 4: Simplify right side
   300,024x = 178,056,993,024
5. Step 5: Solve for x
   x = 178,056,993,024/300,024
6. Step 6: Final answer
   x = 593,475.83