Finding the Third Proportional to 265.78 and 376.03

Step by Step Solution

1. Step 1: Write the proportion equation
   265.78 : 376.03 = 376.03 : x
2. Step 2: Convert to fraction form
   265.78/376.03 = 376.03/x
3. Step 3: Cross multiply
   265.78x = 376.03 × 376.03
4. Step 4: Simplify right side
   265.78x = 141,399.50
5. Step 5: Solve for x
   x = 141,399.50/265.78
6. Step 6: Final answer
   x = 532.01