Finding the Third Proportional to 501.94 and 1,074.56

Step by Step Solution

1. Step 1: Write the proportion equation
   501.94 : 1,074.56 = 1,074.56 : x
2. Step 2: Convert to fraction form
   501.94/1,074.56 = 1,074.56/x
3. Step 3: Cross multiply
   501.94x = 1,074.56 × 1,074.56
4. Step 4: Simplify right side
   501.94x = 1,154,684.57
5. Step 5: Solve for x
   x = 1,154,684.57/501.94
6. Step 6: Final answer
   x = 2,300.45