Finding the Third Proportional to 525.94 and 1,142.72

Step by Step Solution

1. Step 1: Write the proportion equation
   525.94 : 1,142.72 = 1,142.72 : x
2. Step 2: Convert to fraction form
   525.94/1,142.72 = 1,142.72/x
3. Step 3: Cross multiply
   525.94x = 1,142.72 × 1,142.72
4. Step 4: Simplify right side
   525.94x = 1,305,806.14
5. Step 5: Solve for x
   x = 1,305,806.14/525.94
6. Step 6: Final answer
   x = 2,482.82