Finding the Third Proportional to 96.84 and 151.78

Step by Step Solution

1. Step 1: Write the proportion equation
   96.84 : 151.78 = 151.78 : x
2. Step 2: Convert to fraction form
   96.84/151.78 = 151.78/x
3. Step 3: Cross multiply
   96.84x = 151.78 × 151.78
4. Step 4: Simplify right side
   96.84x = 23,037.55
5. Step 5: Solve for x
   x = 23,037.55/96.84
6. Step 6: Final answer
   x = 237.88