Finding the Third Proportional to 322.25 and 760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   322.25 : 760.25 = 760.25 : x
2. Step 2: Convert to fraction form
   322.25/760.25 = 760.25/x
3. Step 3: Cross multiply
   322.25x = 760.25 × 760.25
4. Step 4: Simplify right side
   322.25x = 577,980.06
5. Step 5: Solve for x
   x = 577,980.06/322.25
6. Step 6: Final answer
   x = 1,793.58