Finding the Third Proportional to 213,204 and 469,336

Step by Step Solution

1. Step 1: Write the proportion equation
   213,204 : 469,336 = 469,336 : x
2. Step 2: Convert to fraction form
   213,204/469,336 = 469,336/x
3. Step 3: Cross multiply
   213,204x = 469,336 × 469,336
4. Step 4: Simplify right side
   213,204x = 220,276,280,896
5. Step 5: Solve for x
   x = 220,276,280,896/213,204
6. Step 6: Final answer
   x = 1,033,171.43