Finding the Third Proportional to 194.63 and 223.69

Step by Step Solution

1. Step 1: Write the proportion equation
   194.63 : 223.69 = 223.69 : x
2. Step 2: Convert to fraction form
   194.63/223.69 = 223.69/x
3. Step 3: Cross multiply
   194.63x = 223.69 × 223.69
4. Step 4: Simplify right side
   194.63x = 50,036.10
5. Step 5: Solve for x
   x = 50,036.10/194.63
6. Step 6: Final answer
   x = 257.09