Finding the Third Proportional to 83.50 and 224.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83.50 : 224.25 = 224.25 : x
2. Step 2: Convert to fraction form
   83.50/224.25 = 224.25/x
3. Step 3: Cross multiply
   83.50x = 224.25 × 224.25
4. Step 4: Simplify right side
   83.50x = 50,288.06
5. Step 5: Solve for x
   x = 50,288.06/83.50
6. Step 6: Final answer
   x = 602.25