Finding the Third Proportional to 504.27 and 680.83

Step by Step Solution

1. Step 1: Write the proportion equation
   504.27 : 680.83 = 680.83 : x
2. Step 2: Convert to fraction form
   504.27/680.83 = 680.83/x
3. Step 3: Cross multiply
   504.27x = 680.83 × 680.83
4. Step 4: Simplify right side
   504.27x = 463,525.61
5. Step 5: Solve for x
   x = 463,525.61/504.27
6. Step 6: Final answer
   x = 919.20