Finding the Third Proportional to 469.56 and 800.94

Step by Step Solution

1. Step 1: Write the proportion equation
   469.56 : 800.94 = 800.94 : x
2. Step 2: Convert to fraction form
   469.56/800.94 = 800.94/x
3. Step 3: Cross multiply
   469.56x = 800.94 × 800.94
4. Step 4: Simplify right side
   469.56x = 641,500.88
5. Step 5: Solve for x
   x = 641,500.88/469.56
6. Step 6: Final answer
   x = 1,366.17