Finding the Third Proportional to 414,443 and 608,065

Step by Step Solution

1. Step 1: Write the proportion equation
   414,443 : 608,065 = 608,065 : x
2. Step 2: Convert to fraction form
   414,443/608,065 = 608,065/x
3. Step 3: Cross multiply
   414,443x = 608,065 × 608,065
4. Step 4: Simplify right side
   414,443x = 369,743,044,225
5. Step 5: Solve for x
   x = 369,743,044,225/414,443
6. Step 6: Final answer
   x = 892,144.50