Finding the Third Proportional to 140,264 and 298,384

Step by Step Solution

1. Step 1: Write the proportion equation
   140,264 : 298,384 = 298,384 : x
2. Step 2: Convert to fraction form
   140,264/298,384 = 298,384/x
3. Step 3: Cross multiply
   140,264x = 298,384 × 298,384
4. Step 4: Simplify right side
   140,264x = 89,033,011,456
5. Step 5: Solve for x
   x = 89,033,011,456/140,264
6. Step 6: Final answer
   x = 634,753.12