Finding the Third Proportional to 284,463 and 428,494

Step by Step Solution

1. Step 1: Write the proportion equation
   284,463 : 428,494 = 428,494 : x
2. Step 2: Convert to fraction form
   284,463/428,494 = 428,494/x
3. Step 3: Cross multiply
   284,463x = 428,494 × 428,494
4. Step 4: Simplify right side
   284,463x = 183,607,108,036
5. Step 5: Solve for x
   x = 183,607,108,036/284,463
6. Step 6: Final answer
   x = 645,451.63