Finding the Third Proportional to 115.88 and 150.56

Step by Step Solution

1. Step 1: Write the proportion equation
   115.88 : 150.56 = 150.56 : x
2. Step 2: Convert to fraction form
   115.88/150.56 = 150.56/x
3. Step 3: Cross multiply
   115.88x = 150.56 × 150.56
4. Step 4: Simplify right side
   115.88x = 22,669.07
5. Step 5: Solve for x
   x = 22,669.07/115.88
6. Step 6: Final answer
   x = 195.63