Finding the Third Proportional to 498.25 and 760.88

Step by Step Solution

1. Step 1: Write the proportion equation
   498.25 : 760.88 = 760.88 : x
2. Step 2: Convert to fraction form
   498.25/760.88 = 760.88/x
3. Step 3: Cross multiply
   498.25x = 760.88 × 760.88
4. Step 4: Simplify right side
   498.25x = 578,930.77
5. Step 5: Solve for x
   x = 578,930.77/498.25
6. Step 6: Final answer
   x = 1,161.93