Finding the Third Proportional to 478.41 and 906.27

Step by Step Solution

1. Step 1: Write the proportion equation
   478.41 : 906.27 = 906.27 : x
2. Step 2: Convert to fraction form
   478.41/906.27 = 906.27/x
3. Step 3: Cross multiply
   478.41x = 906.27 × 906.27
4. Step 4: Simplify right side
   478.41x = 821,319.15
5. Step 5: Solve for x
   x = 821,319.15/478.41
6. Step 6: Final answer
   x = 1,716.78