Finding the Third Proportional to 194,834 and 300,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,834 : 300,458.50 = 300,458.50 : x
2. Step 2: Convert to fraction form
   194,834/300,458.50 = 300,458.50/x
3. Step 3: Cross multiply
   194,834x = 300,458.50 × 300,458.50
4. Step 4: Simplify right side
   194,834x = 90,275,310,222.25
5. Step 5: Solve for x
   x = 90,275,310,222.25/194,834
6. Step 6: Final answer
   x = 463,344.75