Finding the Third Proportional to 144,643.50 and 311,485.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,643.50 : 311,485.50 = 311,485.50 : x
2. Step 2: Convert to fraction form
   144,643.50/311,485.50 = 311,485.50/x
3. Step 3: Cross multiply
   144,643.50x = 311,485.50 × 311,485.50
4. Step 4: Simplify right side
   144,643.50x = 97,023,216,710.25
5. Step 5: Solve for x
   x = 97,023,216,710.25/144,643.50
6. Step 6: Final answer
   x = 670,774.81