Finding the Third Proportional to 580.50 and 889.31

Step by Step Solution

1. Step 1: Write the proportion equation
   580.50 : 889.31 = 889.31 : x
2. Step 2: Convert to fraction form
   580.50/889.31 = 889.31/x
3. Step 3: Cross multiply
   580.50x = 889.31 × 889.31
4. Step 4: Simplify right side
   580.50x = 790,876.72
5. Step 5: Solve for x
   x = 790,876.72/580.50
6. Step 6: Final answer
   x = 1,362.41