Finding the Third Proportional to 144,578 and 313,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,578 : 313,287.50 = 313,287.50 : x
2. Step 2: Convert to fraction form
   144,578/313,287.50 = 313,287.50/x
3. Step 3: Cross multiply
   144,578x = 313,287.50 × 313,287.50
4. Step 4: Simplify right side
   144,578x = 98,149,057,656.25
5. Step 5: Solve for x
   x = 98,149,057,656.25/144,578
6. Step 6: Final answer
   x = 678,865.79