Finding the Third Proportional to 517.50 and 788.06

Step by Step Solution

1. Step 1: Write the proportion equation
   517.50 : 788.06 = 788.06 : x
2. Step 2: Convert to fraction form
   517.50/788.06 = 788.06/x
3. Step 3: Cross multiply
   517.50x = 788.06 × 788.06
4. Step 4: Simplify right side
   517.50x = 621,042.50
5. Step 5: Solve for x
   x = 621,042.50/517.50
6. Step 6: Final answer
   x = 1,200.08