Finding the Third Proportional to 125.30 and 194.48

Step by Step Solution

1. Step 1: Write the proportion equation
   125.30 : 194.48 = 194.48 : x
2. Step 2: Convert to fraction form
   125.30/194.48 = 194.48/x
3. Step 3: Cross multiply
   125.30x = 194.48 × 194.48
4. Step 4: Simplify right side
   125.30x = 37,824.17
5. Step 5: Solve for x
   x = 37,824.17/125.30
6. Step 6: Final answer
   x = 301.88