Finding the Third Proportional to 125.94 and 188.56

Step by Step Solution

1. Step 1: Write the proportion equation
   125.94 : 188.56 = 188.56 : x
2. Step 2: Convert to fraction form
   125.94/188.56 = 188.56/x
3. Step 3: Cross multiply
   125.94x = 188.56 × 188.56
4. Step 4: Simplify right side
   125.94x = 35,555.82
5. Step 5: Solve for x
   x = 35,555.82/125.94
6. Step 6: Final answer
   x = 282.33