Finding the Third Proportional to 523.50 and 880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   523.50 : 880.50 = 880.50 : x
2. Step 2: Convert to fraction form
   523.50/880.50 = 880.50/x
3. Step 3: Cross multiply
   523.50x = 880.50 × 880.50
4. Step 4: Simplify right side
   523.50x = 775,280.25
5. Step 5: Solve for x
   x = 775,280.25/523.50
6. Step 6: Final answer
   x = 1,480.96