Finding the Third Proportional to 284,592 and 380,826

Step by Step Solution

1. Step 1: Write the proportion equation
   284,592 : 380,826 = 380,826 : x
2. Step 2: Convert to fraction form
   284,592/380,826 = 380,826/x
3. Step 3: Cross multiply
   284,592x = 380,826 × 380,826
4. Step 4: Simplify right side
   284,592x = 145,028,442,276
5. Step 5: Solve for x
   x = 145,028,442,276/284,592
6. Step 6: Final answer
   x = 509,601.26