Finding the Third Proportional to 214,664 and 471,616

Step by Step Solution

1. Step 1: Write the proportion equation
   214,664 : 471,616 = 471,616 : x
2. Step 2: Convert to fraction form
   214,664/471,616 = 471,616/x
3. Step 3: Cross multiply
   214,664x = 471,616 × 471,616
4. Step 4: Simplify right side
   214,664x = 222,421,651,456
5. Step 5: Solve for x
   x = 222,421,651,456/214,664
6. Step 6: Final answer
   x = 1,036,138.58