Finding the Third Proportional to 141,840 and 298,256

Step by Step Solution

1. Step 1: Write the proportion equation
   141,840 : 298,256 = 298,256 : x
2. Step 2: Convert to fraction form
   141,840/298,256 = 298,256/x
3. Step 3: Cross multiply
   141,840x = 298,256 × 298,256
4. Step 4: Simplify right side
   141,840x = 88,956,641,536
5. Step 5: Solve for x
   x = 88,956,641,536/141,840
6. Step 6: Final answer
   x = 627,161.88