Finding the Third Proportional to 213,200 and 469,328

Step by Step Solution

1. Step 1: Write the proportion equation
   213,200 : 469,328 = 469,328 : x
2. Step 2: Convert to fraction form
   213,200/469,328 = 469,328/x
3. Step 3: Cross multiply
   213,200x = 469,328 × 469,328
4. Step 4: Simplify right side
   213,200x = 220,268,771,584
5. Step 5: Solve for x
   x = 220,268,771,584/213,200
6. Step 6: Final answer
   x = 1,033,155.59