Finding the Third Proportional to 505.94 and 760.56

Step by Step Solution

1. Step 1: Write the proportion equation
   505.94 : 760.56 = 760.56 : x
2. Step 2: Convert to fraction form
   505.94/760.56 = 760.56/x
3. Step 3: Cross multiply
   505.94x = 760.56 × 760.56
4. Step 4: Simplify right side
   505.94x = 578,455.32
5. Step 5: Solve for x
   x = 578,455.32/505.94
6. Step 6: Final answer
   x = 1,143.33