Finding the Third Proportional to 381.38 and 777.38

Step by Step Solution

1. Step 1: Write the proportion equation
   381.38 : 777.38 = 777.38 : x
2. Step 2: Convert to fraction form
   381.38/777.38 = 777.38/x
3. Step 3: Cross multiply
   381.38x = 777.38 × 777.38
4. Step 4: Simplify right side
   381.38x = 604,311.89
5. Step 5: Solve for x
   x = 604,311.89/381.38
6. Step 6: Final answer
   x = 1,584.56