Finding the Third Proportional to 265.78 and 475.03

Step by Step Solution

1. Step 1: Write the proportion equation
   265.78 : 475.03 = 475.03 : x
2. Step 2: Convert to fraction form
   265.78/475.03 = 475.03/x
3. Step 3: Cross multiply
   265.78x = 475.03 × 475.03
4. Step 4: Simplify right side
   265.78x = 225,654.69
5. Step 5: Solve for x
   x = 225,654.69/265.78
6. Step 6: Final answer
   x = 849.02