Finding the Third Proportional to 311,832 and 456,078

Step by Step Solution

1. Step 1: Write the proportion equation
   311,832 : 456,078 = 456,078 : x
2. Step 2: Convert to fraction form
   311,832/456,078 = 456,078/x
3. Step 3: Cross multiply
   311,832x = 456,078 × 456,078
4. Step 4: Simplify right side
   311,832x = 208,007,142,084
5. Step 5: Solve for x
   x = 208,007,142,084/311,832
6. Step 6: Final answer
   x = 667,048.74