Finding the Third Proportional to 82.83 and 194.16

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 194.16 = 194.16 : x
2. Step 2: Convert to fraction form
   82.83/194.16 = 194.16/x
3. Step 3: Cross multiply
   82.83x = 194.16 × 194.16
4. Step 4: Simplify right side
   82.83x = 37,696.65
5. Step 5: Solve for x
   x = 37,696.65/82.83
6. Step 6: Final answer
   x = 455.12