Finding the Third Proportional to 605.50 and 695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   605.50 : 695.50 = 695.50 : x
2. Step 2: Convert to fraction form
   605.50/695.50 = 695.50/x
3. Step 3: Cross multiply
   605.50x = 695.50 × 695.50
4. Step 4: Simplify right side
   605.50x = 483,720.25
5. Step 5: Solve for x
   x = 483,720.25/605.50
6. Step 6: Final answer
   x = 798.88