Finding the Third Proportional to 265.45 and 410.02

Step by Step Solution

1. Step 1: Write the proportion equation
   265.45 : 410.02 = 410.02 : x
2. Step 2: Convert to fraction form
   265.45/410.02 = 410.02/x
3. Step 3: Cross multiply
   265.45x = 410.02 × 410.02
4. Step 4: Simplify right side
   265.45x = 168,112.81
5. Step 5: Solve for x
   x = 168,112.81/265.45
6. Step 6: Final answer
   x = 633.31