Finding the Third Proportional to 722.81 and 1,188.56

Step by Step Solution

1. Step 1: Write the proportion equation
   722.81 : 1,188.56 = 1,188.56 : x
2. Step 2: Convert to fraction form
   722.81/1,188.56 = 1,188.56/x
3. Step 3: Cross multiply
   722.81x = 1,188.56 × 1,188.56
4. Step 4: Simplify right side
   722.81x = 1,412,680.82
5. Step 5: Solve for x
   x = 1,412,680.82/722.81
6. Step 6: Final answer
   x = 1,954.42