Finding the Third Proportional to 200.50 and 425.46

Step by Step Solution

1. Step 1: Write the proportion equation
   200.50 : 425.46 = 425.46 : x
2. Step 2: Convert to fraction form
   200.50/425.46 = 425.46/x
3. Step 3: Cross multiply
   200.50x = 425.46 × 425.46
4. Step 4: Simplify right side
   200.50x = 181,017.01
5. Step 5: Solve for x
   x = 181,017.01/200.50
6. Step 6: Final answer
   x = 902.85