Finding the Third Proportional to 82.31 and 194.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82.31 : 194.25 = 194.25 : x
2. Step 2: Convert to fraction form
   82.31/194.25 = 194.25/x
3. Step 3: Cross multiply
   82.31x = 194.25 × 194.25
4. Step 4: Simplify right side
   82.31x = 37,733.06
5. Step 5: Solve for x
   x = 37,733.06/82.31
6. Step 6: Final answer
   x = 458.41