Finding the Third Proportional to 82.94 and 187.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82.94 : 187.38 = 187.38 : x
2. Step 2: Convert to fraction form
   82.94/187.38 = 187.38/x
3. Step 3: Cross multiply
   82.94x = 187.38 × 187.38
4. Step 4: Simplify right side
   82.94x = 35,109.39
5. Step 5: Solve for x
   x = 35,109.39/82.94
6. Step 6: Final answer
   x = 423.32