Finding the Third Proportional to 323.50 and 762.25

Step by Step Solution

1. Step 1: Write the proportion equation
   323.50 : 762.25 = 762.25 : x
2. Step 2: Convert to fraction form
   323.50/762.25 = 762.25/x
3. Step 3: Cross multiply
   323.50x = 762.25 × 762.25
4. Step 4: Simplify right side
   323.50x = 581,025.06
5. Step 5: Solve for x
   x = 581,025.06/323.50
6. Step 6: Final answer
   x = 1,796.06