Finding the Third Proportional to 612.56 and 890.16

Step by Step Solution

1. Step 1: Write the proportion equation
   612.56 : 890.16 = 890.16 : x
2. Step 2: Convert to fraction form
   612.56/890.16 = 890.16/x
3. Step 3: Cross multiply
   612.56x = 890.16 × 890.16
4. Step 4: Simplify right side
   612.56x = 792,378.15
5. Step 5: Solve for x
   x = 792,378.15/612.56
6. Step 6: Final answer
   x = 1,293.55