Finding the Third Proportional to 311,006 and 678,283.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,006 : 678,283.50 = 678,283.50 : x
2. Step 2: Convert to fraction form
   311,006/678,283.50 = 678,283.50/x
3. Step 3: Cross multiply
   311,006x = 678,283.50 × 678,283.50
4. Step 4: Simplify right side
   311,006x = 460,068,506,372.25
5. Step 5: Solve for x
   x = 460,068,506,372.25/311,006
6. Step 6: Final answer
   x = 1,479,291.42