Finding the Third Proportional to 712.75 and 1,123.88

Step by Step Solution

1. Step 1: Write the proportion equation
   712.75 : 1,123.88 = 1,123.88 : x
2. Step 2: Convert to fraction form
   712.75/1,123.88 = 1,123.88/x
3. Step 3: Cross multiply
   712.75x = 1,123.88 × 1,123.88
4. Step 4: Simplify right side
   712.75x = 1,263,095.02
5. Step 5: Solve for x
   x = 1,263,095.02/712.75
6. Step 6: Final answer
   x = 1,772.14