Finding the Third Proportional to 540.59 and 770.39

Step by Step Solution

1. Step 1: Write the proportion equation
   540.59 : 770.39 = 770.39 : x
2. Step 2: Convert to fraction form
   540.59/770.39 = 770.39/x
3. Step 3: Cross multiply
   540.59x = 770.39 × 770.39
4. Step 4: Simplify right side
   540.59x = 593,501.72
5. Step 5: Solve for x
   x = 593,501.72/540.59
6. Step 6: Final answer
   x = 1,097.87