Finding the Third Proportional to 107,408 and 230,360

Step by Step Solution

1. Step 1: Write the proportion equation
   107,408 : 230,360 = 230,360 : x
2. Step 2: Convert to fraction form
   107,408/230,360 = 230,360/x
3. Step 3: Cross multiply
   107,408x = 230,360 × 230,360
4. Step 4: Simplify right side
   107,408x = 53,065,729,600
5. Step 5: Solve for x
   x = 53,065,729,600/107,408
6. Step 6: Final answer
   x = 494,057.52