Finding the Third Proportional to 462.09 and 1,012.78

Step by Step Solution

1. Step 1: Write the proportion equation
   462.09 : 1,012.78 = 1,012.78 : x
2. Step 2: Convert to fraction form
   462.09/1,012.78 = 1,012.78/x
3. Step 3: Cross multiply
   462.09x = 1,012.78 × 1,012.78
4. Step 4: Simplify right side
   462.09x = 1,025,725.86
5. Step 5: Solve for x
   x = 1,025,725.86/462.09
6. Step 6: Final answer
   x = 2,219.74