Finding the Third Proportional to 82.34 and 190.41

Step by Step Solution

1. Step 1: Write the proportion equation
   82.34 : 190.41 = 190.41 : x
2. Step 2: Convert to fraction form
   82.34/190.41 = 190.41/x
3. Step 3: Cross multiply
   82.34x = 190.41 × 190.41
4. Step 4: Simplify right side
   82.34x = 36,254.54
5. Step 5: Solve for x
   x = 36,254.54/82.34
6. Step 6: Final answer
   x = 440.32