Finding the Third Proportional to 213,748 and 470,384

Step by Step Solution

1. Step 1: Write the proportion equation
   213,748 : 470,384 = 470,384 : x
2. Step 2: Convert to fraction form
   213,748/470,384 = 470,384/x
3. Step 3: Cross multiply
   213,748x = 470,384 × 470,384
4. Step 4: Simplify right side
   213,748x = 221,261,107,456
5. Step 5: Solve for x
   x = 221,261,107,456/213,748
6. Step 6: Final answer
   x = 1,035,149.37