Finding the Third Proportional to 82.83 and 117.89

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 117.89 = 117.89 : x
2. Step 2: Convert to fraction form
   82.83/117.89 = 117.89/x
3. Step 3: Cross multiply
   82.83x = 117.89 × 117.89
4. Step 4: Simplify right side
   82.83x = 13,898.20
5. Step 5: Solve for x
   x = 13,898.20/82.83
6. Step 6: Final answer
   x = 167.80