Finding the Third Proportional to 96.25 and 152.88

Step by Step Solution

1. Step 1: Write the proportion equation
   96.25 : 152.88 = 152.88 : x
2. Step 2: Convert to fraction form
   96.25/152.88 = 152.88/x
3. Step 3: Cross multiply
   96.25x = 152.88 × 152.88
4. Step 4: Simplify right side
   96.25x = 23,370.77
5. Step 5: Solve for x
   x = 23,370.77/96.25
6. Step 6: Final answer
   x = 242.81