Finding the Third Proportional to 579.56 and 904.69

Step by Step Solution

1. Step 1: Write the proportion equation
   579.56 : 904.69 = 904.69 : x
2. Step 2: Convert to fraction form
   579.56/904.69 = 904.69/x
3. Step 3: Cross multiply
   579.56x = 904.69 × 904.69
4. Step 4: Simplify right side
   579.56x = 818,459.47
5. Step 5: Solve for x
   x = 818,459.47/579.56
6. Step 6: Final answer
   x = 1,412.20