Finding the Third Proportional to 498.94 and 769.22

Step by Step Solution

1. Step 1: Write the proportion equation
   498.94 : 769.22 = 769.22 : x
2. Step 2: Convert to fraction form
   498.94/769.22 = 769.22/x
3. Step 3: Cross multiply
   498.94x = 769.22 × 769.22
4. Step 4: Simplify right side
   498.94x = 591,697.49
5. Step 5: Solve for x
   x = 591,697.49/498.94
6. Step 6: Final answer
   x = 1,185.92