Finding the Third Proportional to 282.50 and 373.25

Step by Step Solution

1. Step 1: Write the proportion equation
   282.50 : 373.25 = 373.25 : x
2. Step 2: Convert to fraction form
   282.50/373.25 = 373.25/x
3. Step 3: Cross multiply
   282.50x = 373.25 × 373.25
4. Step 4: Simplify right side
   282.50x = 139,315.56
5. Step 5: Solve for x
   x = 139,315.56/282.50
6. Step 6: Final answer
   x = 493.15