Finding the Third Proportional to 276.75 and 469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   276.75 : 469.50 = 469.50 : x
2. Step 2: Convert to fraction form
   276.75/469.50 = 469.50/x
3. Step 3: Cross multiply
   276.75x = 469.50 × 469.50
4. Step 4: Simplify right side
   276.75x = 220,430.25
5. Step 5: Solve for x
   x = 220,430.25/276.75
6. Step 6: Final answer
   x = 796.50