Finding the Third Proportional to 616.50 and 743.06

Step by Step Solution

1. Step 1: Write the proportion equation
   616.50 : 743.06 = 743.06 : x
2. Step 2: Convert to fraction form
   616.50/743.06 = 743.06/x
3. Step 3: Cross multiply
   616.50x = 743.06 × 743.06
4. Step 4: Simplify right side
   616.50x = 552,141.88
5. Step 5: Solve for x
   x = 552,141.88/616.50
6. Step 6: Final answer
   x = 895.61