Finding the Third Proportional to 587.50 and 879.25

Step by Step Solution

1. Step 1: Write the proportion equation
   587.50 : 879.25 = 879.25 : x
2. Step 2: Convert to fraction form
   587.50/879.25 = 879.25/x
3. Step 3: Cross multiply
   587.50x = 879.25 × 879.25
4. Step 4: Simplify right side
   587.50x = 773,080.56
5. Step 5: Solve for x
   x = 773,080.56/587.50
6. Step 6: Final answer
   x = 1,315.88