Finding the Third Proportional to 125.72 and 194.27

Step by Step Solution

1. Step 1: Write the proportion equation
   125.72 : 194.27 = 194.27 : x
2. Step 2: Convert to fraction form
   125.72/194.27 = 194.27/x
3. Step 3: Cross multiply
   125.72x = 194.27 × 194.27
4. Step 4: Simplify right side
   125.72x = 37,742.17
5. Step 5: Solve for x
   x = 37,742.17/125.72
6. Step 6: Final answer
   x = 300.21