Finding the Third Proportional to 82.83 and 175.92

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 175.92 = 175.92 : x
2. Step 2: Convert to fraction form
   82.83/175.92 = 175.92/x
3. Step 3: Cross multiply
   82.83x = 175.92 × 175.92
4. Step 4: Simplify right side
   82.83x = 30,948.51
5. Step 5: Solve for x
   x = 30,948.51/82.83
6. Step 6: Final answer
   x = 373.65