Finding the Third Proportional to 214,902 and 470,628

Step by Step Solution

1. Step 1: Write the proportion equation
   214,902 : 470,628 = 470,628 : x
2. Step 2: Convert to fraction form
   214,902/470,628 = 470,628/x
3. Step 3: Cross multiply
   214,902x = 470,628 × 470,628
4. Step 4: Simplify right side
   214,902x = 221,490,714,384
5. Step 5: Solve for x
   x = 221,490,714,384/214,902
6. Step 6: Final answer
   x = 1,030,659.16