Finding the Third Proportional to 325.88 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   325.88 : 498.56 = 498.56 : x
2. Step 2: Convert to fraction form
   325.88/498.56 = 498.56/x
3. Step 3: Cross multiply
   325.88x = 498.56 × 498.56
4. Step 4: Simplify right side
   325.88x = 248,564.57
5. Step 5: Solve for x
   x = 248,564.57/325.88
6. Step 6: Final answer
   x = 762.76