Finding the Third Proportional to 378.56 and 972.56

Step by Step Solution

1. Step 1: Write the proportion equation
   378.56 : 972.56 = 972.56 : x
2. Step 2: Convert to fraction form
   378.56/972.56 = 972.56/x
3. Step 3: Cross multiply
   378.56x = 972.56 × 972.56
4. Step 4: Simplify right side
   378.56x = 945,877.82
5. Step 5: Solve for x
   x = 945,877.82/378.56
6. Step 6: Final answer
   x = 2,498.60