Finding the Third Proportional to 104.63 and 223.59

Step by Step Solution

1. Step 1: Write the proportion equation
   104.63 : 223.59 = 223.59 : x
2. Step 2: Convert to fraction form
   104.63/223.59 = 223.59/x
3. Step 3: Cross multiply
   104.63x = 223.59 × 223.59
4. Step 4: Simplify right side
   104.63x = 49,994.17
5. Step 5: Solve for x
   x = 49,994.17/104.63
6. Step 6: Final answer
   x = 477.84