Finding the Third Proportional to 635.22 and 906.56

Step by Step Solution

1. Step 1: Write the proportion equation
   635.22 : 906.56 = 906.56 : x
2. Step 2: Convert to fraction form
   635.22/906.56 = 906.56/x
3. Step 3: Cross multiply
   635.22x = 906.56 × 906.56
4. Step 4: Simplify right side
   635.22x = 821,855.57
5. Step 5: Solve for x
   x = 821,855.57/635.22
6. Step 6: Final answer
   x = 1,293.82