Finding the Third Proportional to 138,180 and 298,416

Step by Step Solution

1. Step 1: Write the proportion equation
   138,180 : 298,416 = 298,416 : x
2. Step 2: Convert to fraction form
   138,180/298,416 = 298,416/x
3. Step 3: Cross multiply
   138,180x = 298,416 × 298,416
4. Step 4: Simplify right side
   138,180x = 89,052,109,056
5. Step 5: Solve for x
   x = 89,052,109,056/138,180
6. Step 6: Final answer
   x = 644,464.53