Finding the Third Proportional to 367,408 and 520,064

Step by Step Solution

1. Step 1: Write the proportion equation
   367,408 : 520,064 = 520,064 : x
2. Step 2: Convert to fraction form
   367,408/520,064 = 520,064/x
3. Step 3: Cross multiply
   367,408x = 520,064 × 520,064
4. Step 4: Simplify right side
   367,408x = 270,466,564,096
5. Step 5: Solve for x
   x = 270,466,564,096/367,408
6. Step 6: Final answer
   x = 736,147.73