Finding the Third Proportional to 123.19 and 200.27

Step by Step Solution

1. Step 1: Write the proportion equation
   123.19 : 200.27 = 200.27 : x
2. Step 2: Convert to fraction form
   123.19/200.27 = 200.27/x
3. Step 3: Cross multiply
   123.19x = 200.27 × 200.27
4. Step 4: Simplify right side
   123.19x = 40,109.45
5. Step 5: Solve for x
   x = 40,109.45/123.19
6. Step 6: Final answer
   x = 325.60