Finding the Third Proportional to 194,554 and 300,462

Step by Step Solution

1. Step 1: Write the proportion equation
   194,554 : 300,462 = 300,462 : x
2. Step 2: Convert to fraction form
   194,554/300,462 = 300,462/x
3. Step 3: Cross multiply
   194,554x = 300,462 × 300,462
4. Step 4: Simplify right side
   194,554x = 90,277,413,444
5. Step 5: Solve for x
   x = 90,277,413,444/194,554
6. Step 6: Final answer
   x = 464,022.40