Finding the Third Proportional to 194,834 and 300,459

Step by Step Solution

1. Step 1: Write the proportion equation
   194,834 : 300,459 = 300,459 : x
2. Step 2: Convert to fraction form
   194,834/300,459 = 300,459/x
3. Step 3: Cross multiply
   194,834x = 300,459 × 300,459
4. Step 4: Simplify right side
   194,834x = 90,275,610,681
5. Step 5: Solve for x
   x = 90,275,610,681/194,834
6. Step 6: Final answer
   x = 463,346.29