Finding the Third Proportional to 656.50 and 737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   656.50 : 737.50 = 737.50 : x
2. Step 2: Convert to fraction form
   656.50/737.50 = 737.50/x
3. Step 3: Cross multiply
   656.50x = 737.50 × 737.50
4. Step 4: Simplify right side
   656.50x = 543,906.25
5. Step 5: Solve for x
   x = 543,906.25/656.50
6. Step 6: Final answer
   x = 828.49