Finding the Third Proportional to 601.50 and 687.56

Step by Step Solution

1. Step 1: Write the proportion equation
   601.50 : 687.56 = 687.56 : x
2. Step 2: Convert to fraction form
   601.50/687.56 = 687.56/x
3. Step 3: Cross multiply
   601.50x = 687.56 × 687.56
4. Step 4: Simplify right side
   601.50x = 472,742.19
5. Step 5: Solve for x
   x = 472,742.19/601.50
6. Step 6: Final answer
   x = 785.94