Finding the Third Proportional to 196,384 and 300,283

Step by Step Solution

1. Step 1: Write the proportion equation
   196,384 : 300,283 = 300,283 : x
2. Step 2: Convert to fraction form
   196,384/300,283 = 300,283/x
3. Step 3: Cross multiply
   196,384x = 300,283 × 300,283
4. Step 4: Simplify right side
   196,384x = 90,169,880,089
5. Step 5: Solve for x
   x = 90,169,880,089/196,384
6. Step 6: Final answer
   x = 459,150.85