Finding the Third Proportional to 200.13 and 269.82

Step by Step Solution

1. Step 1: Write the proportion equation
   200.13 : 269.82 = 269.82 : x
2. Step 2: Convert to fraction form
   200.13/269.82 = 269.82/x
3. Step 3: Cross multiply
   200.13x = 269.82 × 269.82
4. Step 4: Simplify right side
   200.13x = 72,800.37
5. Step 5: Solve for x
   x = 72,800.37/200.13
6. Step 6: Final answer
   x = 363.77