Finding the Third Proportional to 602.50 and 683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   602.50 : 683.50 = 683.50 : x
2. Step 2: Convert to fraction form
   602.50/683.50 = 683.50/x
3. Step 3: Cross multiply
   602.50x = 683.50 × 683.50
4. Step 4: Simplify right side
   602.50x = 467,172.25
5. Step 5: Solve for x
   x = 467,172.25/602.50
6. Step 6: Final answer
   x = 775.39