Finding the Third Proportional to 583.06 and 889.89

Step by Step Solution

1. Step 1: Write the proportion equation
   583.06 : 889.89 = 889.89 : x
2. Step 2: Convert to fraction form
   583.06/889.89 = 889.89/x
3. Step 3: Cross multiply
   583.06x = 889.89 × 889.89
4. Step 4: Simplify right side
   583.06x = 791,908.80
5. Step 5: Solve for x
   x = 791,908.80/583.06
6. Step 6: Final answer
   x = 1,358.20