Finding the Third Proportional to 214,416 and 470,304

Step by Step Solution

1. Step 1: Write the proportion equation
   214,416 : 470,304 = 470,304 : x
2. Step 2: Convert to fraction form
   214,416/470,304 = 470,304/x
3. Step 3: Cross multiply
   214,416x = 470,304 × 470,304
4. Step 4: Simplify right side
   214,416x = 221,185,852,416
5. Step 5: Solve for x
   x = 221,185,852,416/214,416
6. Step 6: Final answer
   x = 1,031,573.45