Finding the Third Proportional to 284,613 and 428,789

Step by Step Solution

1. Step 1: Write the proportion equation
   284,613 : 428,789 = 428,789 : x
2. Step 2: Convert to fraction form
   284,613/428,789 = 428,789/x
3. Step 3: Cross multiply
   284,613x = 428,789 × 428,789
4. Step 4: Simplify right side
   284,613x = 183,860,006,521
5. Step 5: Solve for x
   x = 183,860,006,521/284,613
6. Step 6: Final answer
   x = 646,000.03