Finding the Third Proportional to 454.78 and 1,003.64

Step by Step Solution

1. Step 1: Write the proportion equation
   454.78 : 1,003.64 = 1,003.64 : x
2. Step 2: Convert to fraction form
   454.78/1,003.64 = 1,003.64/x
3. Step 3: Cross multiply
   454.78x = 1,003.64 × 1,003.64
4. Step 4: Simplify right side
   454.78x = 1,007,294.50
5. Step 5: Solve for x
   x = 1,007,294.50/454.78
6. Step 6: Final answer
   x = 2,214.90