Finding the Third Proportional to 566.38 and 1,200.88

Step by Step Solution

1. Step 1: Write the proportion equation
   566.38 : 1,200.88 = 1,200.88 : x
2. Step 2: Convert to fraction form
   566.38/1,200.88 = 1,200.88/x
3. Step 3: Cross multiply
   566.38x = 1,200.88 × 1,200.88
4. Step 4: Simplify right side
   566.38x = 1,442,100.77
5. Step 5: Solve for x
   x = 1,442,100.77/566.38
6. Step 6: Final answer
   x = 2,546.19