Finding the Third Proportional to 82.58 and 117.47

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 117.47 = 117.47 : x
2. Step 2: Convert to fraction form
   82.58/117.47 = 117.47/x
3. Step 3: Cross multiply
   82.58x = 117.47 × 117.47
4. Step 4: Simplify right side
   82.58x = 13,798.22
5. Step 5: Solve for x
   x = 13,798.22/82.58
6. Step 6: Final answer
   x = 167.09