Finding the Third Proportional to 144,477 and 311,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,477 : 311,188.50 = 311,188.50 : x
2. Step 2: Convert to fraction form
   144,477/311,188.50 = 311,188.50/x
3. Step 3: Cross multiply
   144,477x = 311,188.50 × 311,188.50
4. Step 4: Simplify right side
   144,477x = 96,838,282,532.25
5. Step 5: Solve for x
   x = 96,838,282,532.25/144,477
6. Step 6: Final answer
   x = 670,267.81