Finding the Third Proportional to 801.56 and 1,195.59

Step by Step Solution

1. Step 1: Write the proportion equation
   801.56 : 1,195.59 = 1,195.59 : x
2. Step 2: Convert to fraction form
   801.56/1,195.59 = 1,195.59/x
3. Step 3: Cross multiply
   801.56x = 1,195.59 × 1,195.59
4. Step 4: Simplify right side
   801.56x = 1,429,444.42
5. Step 5: Solve for x
   x = 1,429,444.42/801.56
6. Step 6: Final answer
   x = 1,783.32