Finding the Third Proportional to 83.29 and 185.81

Step by Step Solution

1. Step 1: Write the proportion equation
   83.29 : 185.81 = 185.81 : x
2. Step 2: Convert to fraction form
   83.29/185.81 = 185.81/x
3. Step 3: Cross multiply
   83.29x = 185.81 × 185.81
4. Step 4: Simplify right side
   83.29x = 34,525.20
5. Step 5: Solve for x
   x = 34,525.20/83.29
6. Step 6: Final answer
   x = 414.50