Finding the Third Proportional to 213,768 and 470,424

Step by Step Solution

1. Step 1: Write the proportion equation
   213,768 : 470,424 = 470,424 : x
2. Step 2: Convert to fraction form
   213,768/470,424 = 470,424/x
3. Step 3: Cross multiply
   213,768x = 470,424 × 470,424
4. Step 4: Simplify right side
   213,768x = 221,298,739,776
5. Step 5: Solve for x
   x = 221,298,739,776/213,768
6. Step 6: Final answer
   x = 1,035,228.56