Finding the Third Proportional to 284,886 and 434,564

Step by Step Solution

1. Step 1: Write the proportion equation
   284,886 : 434,564 = 434,564 : x
2. Step 2: Convert to fraction form
   284,886/434,564 = 434,564/x
3. Step 3: Cross multiply
   284,886x = 434,564 × 434,564
4. Step 4: Simplify right side
   284,886x = 188,845,870,096
5. Step 5: Solve for x
   x = 188,845,870,096/284,886
6. Step 6: Final answer
   x = 662,882.24