Finding the Third Proportional to 190.83 and 256.71

Step by Step Solution

1. Step 1: Write the proportion equation
   190.83 : 256.71 = 256.71 : x
2. Step 2: Convert to fraction form
   190.83/256.71 = 256.71/x
3. Step 3: Cross multiply
   190.83x = 256.71 × 256.71
4. Step 4: Simplify right side
   190.83x = 65,900.51
5. Step 5: Solve for x
   x = 65,900.51/190.83
6. Step 6: Final answer
   x = 345.34