Finding the Third Proportional to 224.50 and 492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224.50 : 492.50 = 492.50 : x
2. Step 2: Convert to fraction form
   224.50/492.50 = 492.50/x
3. Step 3: Cross multiply
   224.50x = 492.50 × 492.50
4. Step 4: Simplify right side
   224.50x = 242,556.25
5. Step 5: Solve for x
   x = 242,556.25/224.50
6. Step 6: Final answer
   x = 1,080.43