Finding the Third Proportional to 401.63 and 616.22

Step by Step Solution

1. Step 1: Write the proportion equation
   401.63 : 616.22 = 616.22 : x
2. Step 2: Convert to fraction form
   401.63/616.22 = 616.22/x
3. Step 3: Cross multiply
   401.63x = 616.22 × 616.22
4. Step 4: Simplify right side
   401.63x = 379,725.55
5. Step 5: Solve for x
   x = 379,725.55/401.63
6. Step 6: Final answer
   x = 945.47