Finding the Third Proportional to 96,450 and 200,280

Step by Step Solution

1. Step 1: Write the proportion equation
   96,450 : 200,280 = 200,280 : x
2. Step 2: Convert to fraction form
   96,450/200,280 = 200,280/x
3. Step 3: Cross multiply
   96,450x = 200,280 × 200,280
4. Step 4: Simplify right side
   96,450x = 40,112,078,400
5. Step 5: Solve for x
   x = 40,112,078,400/96,450
6. Step 6: Final answer
   x = 415,884.69