Finding the Third Proportional to 80.25 and 194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80.25 : 194.50 = 194.50 : x
2. Step 2: Convert to fraction form
   80.25/194.50 = 194.50/x
3. Step 3: Cross multiply
   80.25x = 194.50 × 194.50
4. Step 4: Simplify right side
   80.25x = 37,830.25
5. Step 5: Solve for x
   x = 37,830.25/80.25
6. Step 6: Final answer
   x = 471.40