Finding the Third Proportional to 125.98 and 194.59

Step by Step Solution

1. Step 1: Write the proportion equation
   125.98 : 194.59 = 194.59 : x
2. Step 2: Convert to fraction form
   125.98/194.59 = 194.59/x
3. Step 3: Cross multiply
   125.98x = 194.59 × 194.59
4. Step 4: Simplify right side
   125.98x = 37,865.21
5. Step 5: Solve for x
   x = 37,865.21/125.98
6. Step 6: Final answer
   x = 300.56