Finding the Third Proportional to 515.78 and 1,061.46

Step by Step Solution

1. Step 1: Write the proportion equation
   515.78 : 1,061.46 = 1,061.46 : x
2. Step 2: Convert to fraction form
   515.78/1,061.46 = 1,061.46/x
3. Step 3: Cross multiply
   515.78x = 1,061.46 × 1,061.46
4. Step 4: Simplify right side
   515.78x = 1,126,705.54
5. Step 5: Solve for x
   x = 1,126,705.54/515.78
6. Step 6: Final answer
   x = 2,184.46