Finding the Third Proportional to 196,382 and 300,280

Step by Step Solution

1. Step 1: Write the proportion equation
   196,382 : 300,280 = 300,280 : x
2. Step 2: Convert to fraction form
   196,382/300,280 = 300,280/x
3. Step 3: Cross multiply
   196,382x = 300,280 × 300,280
4. Step 4: Simplify right side
   196,382x = 90,168,078,400
5. Step 5: Solve for x
   x = 90,168,078,400/196,382
6. Step 6: Final answer
   x = 459,146.35