Finding the Third Proportional to 200,216 and 435,272

Step by Step Solution

1. Step 1: Write the proportion equation
   200,216 : 435,272 = 435,272 : x
2. Step 2: Convert to fraction form
   200,216/435,272 = 435,272/x
3. Step 3: Cross multiply
   200,216x = 435,272 × 435,272
4. Step 4: Simplify right side
   200,216x = 189,461,713,984
5. Step 5: Solve for x
   x = 189,461,713,984/200,216
6. Step 6: Final answer
   x = 946,286.58