Finding the Third Proportional to 500.50 and 777.81

Step by Step Solution

1. Step 1: Write the proportion equation
   500.50 : 777.81 = 777.81 : x
2. Step 2: Convert to fraction form
   500.50/777.81 = 777.81/x
3. Step 3: Cross multiply
   500.50x = 777.81 × 777.81
4. Step 4: Simplify right side
   500.50x = 604,992.29
5. Step 5: Solve for x
   x = 604,992.29/500.50
6. Step 6: Final answer
   x = 1,208.78