Finding the Third Proportional to 342.75 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   342.75 : 498.56 = 498.56 : x
2. Step 2: Convert to fraction form
   342.75/498.56 = 498.56/x
3. Step 3: Cross multiply
   342.75x = 498.56 × 498.56
4. Step 4: Simplify right side
   342.75x = 248,564.57
5. Step 5: Solve for x
   x = 248,564.57/342.75
6. Step 6: Final answer
   x = 725.21