Finding the Third Proportional to 426.94 and 498.02

Step by Step Solution

1. Step 1: Write the proportion equation
   426.94 : 498.02 = 498.02 : x
2. Step 2: Convert to fraction form
   426.94/498.02 = 498.02/x
3. Step 3: Cross multiply
   426.94x = 498.02 × 498.02
4. Step 4: Simplify right side
   426.94x = 248,027.34
5. Step 5: Solve for x
   x = 248,027.34/426.94
6. Step 6: Final answer
   x = 580.95