Finding the Third Proportional to 311,754 and 678,096

Step by Step Solution

1. Step 1: Write the proportion equation
   311,754 : 678,096 = 678,096 : x
2. Step 2: Convert to fraction form
   311,754/678,096 = 678,096/x
3. Step 3: Cross multiply
   311,754x = 678,096 × 678,096
4. Step 4: Simplify right side
   311,754x = 459,814,185,216
5. Step 5: Solve for x
   x = 459,814,185,216/311,754
6. Step 6: Final answer
   x = 1,474,926.34