Finding the Third Proportional to 83.94 and 200.34

Step by Step Solution

1. Step 1: Write the proportion equation
   83.94 : 200.34 = 200.34 : x
2. Step 2: Convert to fraction form
   83.94/200.34 = 200.34/x
3. Step 3: Cross multiply
   83.94x = 200.34 × 200.34
4. Step 4: Simplify right side
   83.94x = 40,137.62
5. Step 5: Solve for x
   x = 40,137.62/83.94
6. Step 6: Final answer
   x = 478.18