Finding the Third Proportional to 214,392 and 470,256

Step by Step Solution

1. Step 1: Write the proportion equation
   214,392 : 470,256 = 470,256 : x
2. Step 2: Convert to fraction form
   214,392/470,256 = 470,256/x
3. Step 3: Cross multiply
   214,392x = 470,256 × 470,256
4. Step 4: Simplify right side
   214,392x = 221,140,705,536
5. Step 5: Solve for x
   x = 221,140,705,536/214,392
6. Step 6: Final answer
   x = 1,031,478.35