Finding the Third Proportional to 144,825 and 311,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,825 : 311,443.50 = 311,443.50 : x
2. Step 2: Convert to fraction form
   144,825/311,443.50 = 311,443.50/x
3. Step 3: Cross multiply
   144,825x = 311,443.50 × 311,443.50
4. Step 4: Simplify right side
   144,825x = 96,997,053,692.25
5. Step 5: Solve for x
   x = 96,997,053,692.25/144,825
6. Step 6: Final answer
   x = 669,753.52