Finding the Third Proportional to 144,616 and 298,458

Step by Step Solution

1. Step 1: Write the proportion equation
   144,616 : 298,458 = 298,458 : x
2. Step 2: Convert to fraction form
   144,616/298,458 = 298,458/x
3. Step 3: Cross multiply
   144,616x = 298,458 × 298,458
4. Step 4: Simplify right side
   144,616x = 89,077,177,764
5. Step 5: Solve for x
   x = 89,077,177,764/144,616
6. Step 6: Final answer
   x = 615,956.59