Finding the Third Proportional to 97.08 and 223.69

Step by Step Solution

1. Step 1: Write the proportion equation
   97.08 : 223.69 = 223.69 : x
2. Step 2: Convert to fraction form
   97.08/223.69 = 223.69/x
3. Step 3: Cross multiply
   97.08x = 223.69 × 223.69
4. Step 4: Simplify right side
   97.08x = 50,036.10
5. Step 5: Solve for x
   x = 50,036.10/97.08
6. Step 6: Final answer
   x = 515.42