Finding the Third Proportional to 144,828 and 302,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,828 : 302,896.50 = 302,896.50 : x
2. Step 2: Convert to fraction form
   144,828/302,896.50 = 302,896.50/x
3. Step 3: Cross multiply
   144,828x = 302,896.50 × 302,896.50
4. Step 4: Simplify right side
   144,828x = 91,746,289,712.25
5. Step 5: Solve for x
   x = 91,746,289,712.25/144,828
6. Step 6: Final answer
   x = 633,484.48