Finding the Third Proportional to 138,649 and 298,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,649 : 298,313.50 = 298,313.50 : x
2. Step 2: Convert to fraction form
   138,649/298,313.50 = 298,313.50/x
3. Step 3: Cross multiply
   138,649x = 298,313.50 × 298,313.50
4. Step 4: Simplify right side
   138,649x = 88,990,944,282.25
5. Step 5: Solve for x
   x = 88,990,944,282.25/138,649
6. Step 6: Final answer
   x = 641,843.39