Finding the Third Proportional to 311,592 and 456,936

Step by Step Solution

1. Step 1: Write the proportion equation
   311,592 : 456,936 = 456,936 : x
2. Step 2: Convert to fraction form
   311,592/456,936 = 456,936/x
3. Step 3: Cross multiply
   311,592x = 456,936 × 456,936
4. Step 4: Simplify right side
   311,592x = 208,790,508,096
5. Step 5: Solve for x
   x = 208,790,508,096/311,592
6. Step 6: Final answer
   x = 670,076.60