Finding the Third Proportional to 125.50 and 298.38

Step by Step Solution

1. Step 1: Write the proportion equation
   125.50 : 298.38 = 298.38 : x
2. Step 2: Convert to fraction form
   125.50/298.38 = 298.38/x
3. Step 3: Cross multiply
   125.50x = 298.38 × 298.38
4. Step 4: Simplify right side
   125.50x = 89,027.64
5. Step 5: Solve for x
   x = 89,027.64/125.50
6. Step 6: Final answer
   x = 709.38