Finding the Third Proportional to 84.81 and 185.06

Step by Step Solution

1. Step 1: Write the proportion equation
   84.81 : 185.06 = 185.06 : x
2. Step 2: Convert to fraction form
   84.81/185.06 = 185.06/x
3. Step 3: Cross multiply
   84.81x = 185.06 × 185.06
4. Step 4: Simplify right side
   84.81x = 34,248.13
5. Step 5: Solve for x
   x = 34,248.13/84.81
6. Step 6: Final answer
   x = 403.81