Finding the Third Proportional to 623.81 and 1,062.56

Step by Step Solution

1. Step 1: Write the proportion equation
   623.81 : 1,062.56 = 1,062.56 : x
2. Step 2: Convert to fraction form
   623.81/1,062.56 = 1,062.56/x
3. Step 3: Cross multiply
   623.81x = 1,062.56 × 1,062.56
4. Step 4: Simplify right side
   623.81x = 1,129,039.07
5. Step 5: Solve for x
   x = 1,129,039.07/623.81
6. Step 6: Final answer
   x = 1,809.90