Finding the Third Proportional to 463.78 and 1,012.78

Step by Step Solution

1. Step 1: Write the proportion equation
   463.78 : 1,012.78 = 1,012.78 : x
2. Step 2: Convert to fraction form
   463.78/1,012.78 = 1,012.78/x
3. Step 3: Cross multiply
   463.78x = 1,012.78 × 1,012.78
4. Step 4: Simplify right side
   463.78x = 1,025,725.86
5. Step 5: Solve for x
   x = 1,025,725.86/463.78
6. Step 6: Final answer
   x = 2,211.66