Finding the Third Proportional to 566.50 and 1,200

Step by Step Solution

1. Step 1: Write the proportion equation
   566.50 : 1,200 = 1,200 : x
2. Step 2: Convert to fraction form
   566.50/1,200 = 1,200/x
3. Step 3: Cross multiply
   566.50x = 1,200 × 1,200
4. Step 4: Simplify right side
   566.50x = 1,440,000
5. Step 5: Solve for x
   x = 1,440,000/566.50
6. Step 6: Final answer
   x = 2,541.92