Finding the Third Proportional to 125.50 and 265.38

Step by Step Solution

1. Step 1: Write the proportion equation
   125.50 : 265.38 = 265.38 : x
2. Step 2: Convert to fraction form
   125.50/265.38 = 265.38/x
3. Step 3: Cross multiply
   125.50x = 265.38 × 265.38
4. Step 4: Simplify right side
   125.50x = 70,423.89
5. Step 5: Solve for x
   x = 70,423.89/125.50
6. Step 6: Final answer
   x = 561.15