Finding the Third Proportional to 82.90 and 111.85

Step by Step Solution

1. Step 1: Write the proportion equation
   82.90 : 111.85 = 111.85 : x
2. Step 2: Convert to fraction form
   82.90/111.85 = 111.85/x
3. Step 3: Cross multiply
   82.90x = 111.85 × 111.85
4. Step 4: Simplify right side
   82.90x = 12,510.34
5. Step 5: Solve for x
   x = 12,510.34/82.90
6. Step 6: Final answer
   x = 150.91