Finding the Third Proportional to 82.03 and 115.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82.03 : 115.78 = 115.78 : x
2. Step 2: Convert to fraction form
   82.03/115.78 = 115.78/x
3. Step 3: Cross multiply
   82.03x = 115.78 × 115.78
4. Step 4: Simplify right side
   82.03x = 13,405.30
5. Step 5: Solve for x
   x = 13,405.30/82.03
6. Step 6: Final answer
   x = 163.42