Finding the Third Proportional to 82.90 and 180.77

Step by Step Solution

1. Step 1: Write the proportion equation
   82.90 : 180.77 = 180.77 : x
2. Step 2: Convert to fraction form
   82.90/180.77 = 180.77/x
3. Step 3: Cross multiply
   82.90x = 180.77 × 180.77
4. Step 4: Simplify right side
   82.90x = 32,679.04
5. Step 5: Solve for x
   x = 32,679.04/82.90
6. Step 6: Final answer
   x = 394.21