Finding the Third Proportional to 214,478 and 471,256

Step by Step Solution

1. Step 1: Write the proportion equation
   214,478 : 471,256 = 471,256 : x
2. Step 2: Convert to fraction form
   214,478/471,256 = 471,256/x
3. Step 3: Cross multiply
   214,478x = 471,256 × 471,256
4. Step 4: Simplify right side
   214,478x = 222,082,217,536
5. Step 5: Solve for x
   x = 222,082,217,536/214,478
6. Step 6: Final answer
   x = 1,035,454.53