Finding the Third Proportional to 106.88 and 151.56

Step by Step Solution

1. Step 1: Write the proportion equation
   106.88 : 151.56 = 151.56 : x
2. Step 2: Convert to fraction form
   106.88/151.56 = 151.56/x
3. Step 3: Cross multiply
   106.88x = 151.56 × 151.56
4. Step 4: Simplify right side
   106.88x = 22,971.19
5. Step 5: Solve for x
   x = 22,971.19/106.88
6. Step 6: Final answer
   x = 214.94