Finding the Third Proportional to 487.50 and 788.25

Step by Step Solution

1. Step 1: Write the proportion equation
   487.50 : 788.25 = 788.25 : x
2. Step 2: Convert to fraction form
   487.50/788.25 = 788.25/x
3. Step 3: Cross multiply
   487.50x = 788.25 × 788.25
4. Step 4: Simplify right side
   487.50x = 621,338.06
5. Step 5: Solve for x
   x = 621,338.06/487.50
6. Step 6: Final answer
   x = 1,274.54