Finding the Third Proportional to 534.94 and 800.72

Step by Step Solution

1. Step 1: Write the proportion equation
   534.94 : 800.72 = 800.72 : x
2. Step 2: Convert to fraction form
   534.94/800.72 = 800.72/x
3. Step 3: Cross multiply
   534.94x = 800.72 × 800.72
4. Step 4: Simplify right side
   534.94x = 641,150.52
5. Step 5: Solve for x
   x = 641,150.52/534.94
6. Step 6: Final answer
   x = 1,198.55