Finding the Third Proportional to 194,832 and 300,456

Step by Step Solution

1. Step 1: Write the proportion equation
   194,832 : 300,456 = 300,456 : x
2. Step 2: Convert to fraction form
   194,832/300,456 = 300,456/x
3. Step 3: Cross multiply
   194,832x = 300,456 × 300,456
4. Step 4: Simplify right side
   194,832x = 90,273,807,936
5. Step 5: Solve for x
   x = 90,273,807,936/194,832
6. Step 6: Final answer
   x = 463,341.79