Finding the Third Proportional to 498.56 and 738.56

Step by Step Solution

1. Step 1: Write the proportion equation
   498.56 : 738.56 = 738.56 : x
2. Step 2: Convert to fraction form
   498.56/738.56 = 738.56/x
3. Step 3: Cross multiply
   498.56x = 738.56 × 738.56
4. Step 4: Simplify right side
   498.56x = 545,474.57
5. Step 5: Solve for x
   x = 545,474.57/498.56
6. Step 6: Final answer
   x = 1,094.09