Finding the Third Proportional to 406.27 and 889.10

Step by Step Solution

1. Step 1: Write the proportion equation
   406.27 : 889.10 = 889.10 : x
2. Step 2: Convert to fraction form
   406.27/889.10 = 889.10/x
3. Step 3: Cross multiply
   406.27x = 889.10 × 889.10
4. Step 4: Simplify right side
   406.27x = 790,501.59
5. Step 5: Solve for x
   x = 790,501.59/406.27
6. Step 6: Final answer
   x = 1,945.78