Finding the Third Proportional to 191.38 and 269.63

Step by Step Solution

1. Step 1: Write the proportion equation
   191.38 : 269.63 = 269.63 : x
2. Step 2: Convert to fraction form
   191.38/269.63 = 269.63/x
3. Step 3: Cross multiply
   191.38x = 269.63 × 269.63
4. Step 4: Simplify right side
   191.38x = 72,697.64
5. Step 5: Solve for x
   x = 72,697.64/191.38
6. Step 6: Final answer
   x = 379.87