Finding the Third Proportional to 569.75 and 1,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   569.75 : 1,123.25 = 1,123.25 : x
2. Step 2: Convert to fraction form
   569.75/1,123.25 = 1,123.25/x
3. Step 3: Cross multiply
   569.75x = 1,123.25 × 1,123.25
4. Step 4: Simplify right side
   569.75x = 1,261,690.56
5. Step 5: Solve for x
   x = 1,261,690.56/569.75
6. Step 6: Final answer
   x = 2,214.46