Finding the Third Proportional to 523.83 and 1,097.02

Step by Step Solution

1. Step 1: Write the proportion equation
   523.83 : 1,097.02 = 1,097.02 : x
2. Step 2: Convert to fraction form
   523.83/1,097.02 = 1,097.02/x
3. Step 3: Cross multiply
   523.83x = 1,097.02 × 1,097.02
4. Step 4: Simplify right side
   523.83x = 1,203,443.28
5. Step 5: Solve for x
   x = 1,203,443.28/523.83
6. Step 6: Final answer
   x = 2,297.40