Finding the Third Proportional to 144,463.50 and 307,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,463.50 : 307,624.50 = 307,624.50 : x
2. Step 2: Convert to fraction form
   144,463.50/307,624.50 = 307,624.50/x
3. Step 3: Cross multiply
   144,463.50x = 307,624.50 × 307,624.50
4. Step 4: Simplify right side
   144,463.50x = 94,632,833,000.25
5. Step 5: Solve for x
   x = 94,632,833,000.25/144,463.50
6. Step 6: Final answer
   x = 655,063.96