Finding the Third Proportional to 498.23 and 775.83

Step by Step Solution

1. Step 1: Write the proportion equation
   498.23 : 775.83 = 775.83 : x
2. Step 2: Convert to fraction form
   498.23/775.83 = 775.83/x
3. Step 3: Cross multiply
   498.23x = 775.83 × 775.83
4. Step 4: Simplify right side
   498.23x = 601,909.28
5. Step 5: Solve for x
   x = 601,909.28/498.23
6. Step 6: Final answer
   x = 1,208.08