Finding the Third Proportional to 190.69 and 385.17

Step by Step Solution

1. Step 1: Write the proportion equation
   190.69 : 385.17 = 385.17 : x
2. Step 2: Convert to fraction form
   190.69/385.17 = 385.17/x
3. Step 3: Cross multiply
   190.69x = 385.17 × 385.17
4. Step 4: Simplify right side
   190.69x = 148,357.37
5. Step 5: Solve for x
   x = 148,357.37/190.69
6. Step 6: Final answer
   x = 778.01