Finding the Third Proportional to 141.50 and 265.25

Step by Step Solution

1. Step 1: Write the proportion equation
   141.50 : 265.25 = 265.25 : x
2. Step 2: Convert to fraction form
   141.50/265.25 = 265.25/x
3. Step 3: Cross multiply
   141.50x = 265.25 × 265.25
4. Step 4: Simplify right side
   141.50x = 70,357.56
5. Step 5: Solve for x
   x = 70,357.56/141.50
6. Step 6: Final answer
   x = 497.23