Finding the Third Proportional to 83.53 and 152.82

Step by Step Solution

1. Step 1: Write the proportion equation
   83.53 : 152.82 = 152.82 : x
2. Step 2: Convert to fraction form
   83.53/152.82 = 152.82/x
3. Step 3: Cross multiply
   83.53x = 152.82 × 152.82
4. Step 4: Simplify right side
   83.53x = 23,355.24
5. Step 5: Solve for x
   x = 23,355.24/83.53
6. Step 6: Final answer
   x = 279.60