Finding the Third Proportional to 185.50 and 282.63

Step by Step Solution

1. Step 1: Write the proportion equation
   185.50 : 282.63 = 282.63 : x
2. Step 2: Convert to fraction form
   185.50/282.63 = 282.63/x
3. Step 3: Cross multiply
   185.50x = 282.63 × 282.63
4. Step 4: Simplify right side
   185.50x = 79,876.89
5. Step 5: Solve for x
   x = 79,876.89/185.50
6. Step 6: Final answer
   x = 430.60