Finding the Third Proportional to 185.77 and 382.78

Step by Step Solution

1. Step 1: Write the proportion equation
   185.77 : 382.78 = 382.78 : x
2. Step 2: Convert to fraction form
   185.77/382.78 = 382.78/x
3. Step 3: Cross multiply
   185.77x = 382.78 × 382.78
4. Step 4: Simplify right side
   185.77x = 146,521.49
5. Step 5: Solve for x
   x = 146,521.49/185.77
6. Step 6: Final answer
   x = 788.74