Finding the Third Proportional to 82.58 and 110.43

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 110.43 = 110.43 : x
2. Step 2: Convert to fraction form
   82.58/110.43 = 110.43/x
3. Step 3: Cross multiply
   82.58x = 110.43 × 110.43
4. Step 4: Simplify right side
   82.58x = 12,193.85
5. Step 5: Solve for x
   x = 12,193.85/82.58
6. Step 6: Final answer
   x = 147.66