Finding the Third Proportional to 616.30 and 902.82

Step by Step Solution

1. Step 1: Write the proportion equation
   616.30 : 902.82 = 902.82 : x
2. Step 2: Convert to fraction form
   616.30/902.82 = 902.82/x
3. Step 3: Cross multiply
   616.30x = 902.82 × 902.82
4. Step 4: Simplify right side
   616.30x = 815,080.82
5. Step 5: Solve for x
   x = 815,080.82/616.30
6. Step 6: Final answer
   x = 1,322.55