Finding the Third Proportional to 96.50 and 149.82

Step by Step Solution

1. Step 1: Write the proportion equation
   96.50 : 149.82 = 149.82 : x
2. Step 2: Convert to fraction form
   96.50/149.82 = 149.82/x
3. Step 3: Cross multiply
   96.50x = 149.82 × 149.82
4. Step 4: Simplify right side
   96.50x = 22,445.54
5. Step 5: Solve for x
   x = 22,445.54/96.50
6. Step 6: Final answer
   x = 232.59