Finding the Third Proportional to 144,513 and 313,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,513 : 313,861.50 = 313,861.50 : x
2. Step 2: Convert to fraction form
   144,513/313,861.50 = 313,861.50/x
3. Step 3: Cross multiply
   144,513x = 313,861.50 × 313,861.50
4. Step 4: Simplify right side
   144,513x = 98,509,041,182.25
5. Step 5: Solve for x
   x = 98,509,041,182.25/144,513
6. Step 6: Final answer
   x = 681,662.14