Finding the Third Proportional to 140,256 and 298,368

Step by Step Solution

1. Step 1: Write the proportion equation
   140,256 : 298,368 = 298,368 : x
2. Step 2: Convert to fraction form
   140,256/298,368 = 298,368/x
3. Step 3: Cross multiply
   140,256x = 298,368 × 298,368
4. Step 4: Simplify right side
   140,256x = 89,023,463,424
5. Step 5: Solve for x
   x = 89,023,463,424/140,256
6. Step 6: Final answer
   x = 634,721.25