Finding the Third Proportional to 715.78 and 1,012.92

Step by Step Solution

1. Step 1: Write the proportion equation
   715.78 : 1,012.92 = 1,012.92 : x
2. Step 2: Convert to fraction form
   715.78/1,012.92 = 1,012.92/x
3. Step 3: Cross multiply
   715.78x = 1,012.92 × 1,012.92
4. Step 4: Simplify right side
   715.78x = 1,026,010.72
5. Step 5: Solve for x
   x = 1,026,010.72/715.78
6. Step 6: Final answer
   x = 1,433.41