Finding the Third Proportional to 544.22 and 764.86

Step by Step Solution

1. Step 1: Write the proportion equation
   544.22 : 764.86 = 764.86 : x
2. Step 2: Convert to fraction form
   544.22/764.86 = 764.86/x
3. Step 3: Cross multiply
   544.22x = 764.86 × 764.86
4. Step 4: Simplify right side
   544.22x = 585,009.86
5. Step 5: Solve for x
   x = 585,009.86/544.22
6. Step 6: Final answer
   x = 1,074.95