Finding the Third Proportional to 214,648 and 471,584

Step by Step Solution

1. Step 1: Write the proportion equation
   214,648 : 471,584 = 471,584 : x
2. Step 2: Convert to fraction form
   214,648/471,584 = 471,584/x
3. Step 3: Cross multiply
   214,648x = 471,584 × 471,584
4. Step 4: Simplify right side
   214,648x = 222,391,469,056
5. Step 5: Solve for x
   x = 222,391,469,056/214,648
6. Step 6: Final answer
   x = 1,036,075.20