Finding the Third Proportional to 200.47 and 416.69

Step by Step Solution

1. Step 1: Write the proportion equation
   200.47 : 416.69 = 416.69 : x
2. Step 2: Convert to fraction form
   200.47/416.69 = 416.69/x
3. Step 3: Cross multiply
   200.47x = 416.69 × 416.69
4. Step 4: Simplify right side
   200.47x = 173,628.47
5. Step 5: Solve for x
   x = 173,628.47/200.47
6. Step 6: Final answer
   x = 866.11