Finding the Third Proportional to 140,724 and 298,720

Step by Step Solution

1. Step 1: Write the proportion equation
   140,724 : 298,720 = 298,720 : x
2. Step 2: Convert to fraction form
   140,724/298,720 = 298,720/x
3. Step 3: Cross multiply
   140,724x = 298,720 × 298,720
4. Step 4: Simplify right side
   140,724x = 89,233,638,400
5. Step 5: Solve for x
   x = 89,233,638,400/140,724
6. Step 6: Final answer
   x = 634,103.91