Finding the Third Proportional to 82.92 and 116.91

Step by Step Solution

1. Step 1: Write the proportion equation
   82.92 : 116.91 = 116.91 : x
2. Step 2: Convert to fraction form
   82.92/116.91 = 116.91/x
3. Step 3: Cross multiply
   82.92x = 116.91 × 116.91
4. Step 4: Simplify right side
   82.92x = 13,667.07
5. Step 5: Solve for x
   x = 13,667.07/82.92
6. Step 6: Final answer
   x = 164.82