Finding the Third Proportional to 498.75 and 1,097

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 1,097 = 1,097 : x
2. Step 2: Convert to fraction form
   498.75/1,097 = 1,097/x
3. Step 3: Cross multiply
   498.75x = 1,097 × 1,097
4. Step 4: Simplify right side
   498.75x = 1,203,409
5. Step 5: Solve for x
   x = 1,203,409/498.75
6. Step 6: Final answer
   x = 2,412.85