Finding the Third Proportional to 378.56 and 912.56

Step by Step Solution

1. Step 1: Write the proportion equation
   378.56 : 912.56 = 912.56 : x
2. Step 2: Convert to fraction form
   378.56/912.56 = 912.56/x
3. Step 3: Cross multiply
   378.56x = 912.56 × 912.56
4. Step 4: Simplify right side
   378.56x = 832,770.32
5. Step 5: Solve for x
   x = 832,770.32/378.56
6. Step 6: Final answer
   x = 2,199.82