Finding the Third Proportional to 416 and 980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   416 : 980.50 = 980.50 : x
2. Step 2: Convert to fraction form
   416/980.50 = 980.50/x
3. Step 3: Cross multiply
   416x = 980.50 × 980.50
4. Step 4: Simplify right side
   416x = 961,380.25
5. Step 5: Solve for x
   x = 961,380.25/416
6. Step 6: Final answer
   x = 2,311.01