Finding the Third Proportional to 263.18 and 402.82

Step by Step Solution

1. Step 1: Write the proportion equation
   263.18 : 402.82 = 402.82 : x
2. Step 2: Convert to fraction form
   263.18/402.82 = 402.82/x
3. Step 3: Cross multiply
   263.18x = 402.82 × 402.82
4. Step 4: Simplify right side
   263.18x = 162,264.20
5. Step 5: Solve for x
   x = 162,264.20/263.18
6. Step 6: Final answer
   x = 616.55