Finding the Third Proportional to 200.25 and 406.25

Step by Step Solution

1. Step 1: Write the proportion equation
   200.25 : 406.25 = 406.25 : x
2. Step 2: Convert to fraction form
   200.25/406.25 = 406.25/x
3. Step 3: Cross multiply
   200.25x = 406.25 × 406.25
4. Step 4: Simplify right side
   200.25x = 165,039.06
5. Step 5: Solve for x
   x = 165,039.06/200.25
6. Step 6: Final answer
   x = 824.17