Finding the Third Proportional to 189.50 and 282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189.50 : 282.50 = 282.50 : x
2. Step 2: Convert to fraction form
   189.50/282.50 = 282.50/x
3. Step 3: Cross multiply
   189.50x = 282.50 × 282.50
4. Step 4: Simplify right side
   189.50x = 79,806.25
5. Step 5: Solve for x
   x = 79,806.25/189.50
6. Step 6: Final answer
   x = 421.14