Finding the Third Proportional to 212.50 and 465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212.50 : 465.50 = 465.50 : x
2. Step 2: Convert to fraction form
   212.50/465.50 = 465.50/x
3. Step 3: Cross multiply
   212.50x = 465.50 × 465.50
4. Step 4: Simplify right side
   212.50x = 216,690.25
5. Step 5: Solve for x
   x = 216,690.25/212.50
6. Step 6: Final answer
   x = 1,019.72