Finding the Third Proportional to 505.88 and 1,036.22

Step by Step Solution

1. Step 1: Write the proportion equation
   505.88 : 1,036.22 = 1,036.22 : x
2. Step 2: Convert to fraction form
   505.88/1,036.22 = 1,036.22/x
3. Step 3: Cross multiply
   505.88x = 1,036.22 × 1,036.22
4. Step 4: Simplify right side
   505.88x = 1,073,749.30
5. Step 5: Solve for x
   x = 1,073,749.30/505.88
6. Step 6: Final answer
   x = 2,122.56