Finding the Third Proportional to 284,648 and 412,284

Step by Step Solution

1. Step 1: Write the proportion equation
   284,648 : 412,284 = 412,284 : x
2. Step 2: Convert to fraction form
   284,648/412,284 = 412,284/x
3. Step 3: Cross multiply
   284,648x = 412,284 × 412,284
4. Step 4: Simplify right side
   284,648x = 169,978,096,656
5. Step 5: Solve for x
   x = 169,978,096,656/284,648
6. Step 6: Final answer
   x = 597,151.91