Finding the Third Proportional to 144,583 and 311,320

Step by Step Solution

1. Step 1: Write the proportion equation
   144,583 : 311,320 = 311,320 : x
2. Step 2: Convert to fraction form
   144,583/311,320 = 311,320/x
3. Step 3: Cross multiply
   144,583x = 311,320 × 311,320
4. Step 4: Simplify right side
   144,583x = 96,920,142,400
5. Step 5: Solve for x
   x = 96,920,142,400/144,583
6. Step 6: Final answer
   x = 670,342.59