Finding the Third Proportional to 505.31 and 1,164.56

Step by Step Solution

1. Step 1: Write the proportion equation
   505.31 : 1,164.56 = 1,164.56 : x
2. Step 2: Convert to fraction form
   505.31/1,164.56 = 1,164.56/x
3. Step 3: Cross multiply
   505.31x = 1,164.56 × 1,164.56
4. Step 4: Simplify right side
   505.31x = 1,356,205.82
5. Step 5: Solve for x
   x = 1,356,205.82/505.31
6. Step 6: Final answer
   x = 2,683.90