Finding the Third Proportional to 83.06 and 116.16

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 116.16 = 116.16 : x
2. Step 2: Convert to fraction form
   83.06/116.16 = 116.16/x
3. Step 3: Cross multiply
   83.06x = 116.16 × 116.16
4. Step 4: Simplify right side
   83.06x = 13,492.27
5. Step 5: Solve for x
   x = 13,492.27/83.06
6. Step 6: Final answer
   x = 162.44