Finding the Third Proportional to 456 and 978

Step by Step Solution

1. Step 1: Write the proportion equation
   456 : 978 = 978 : x
2. Step 2: Convert to fraction form
   456/978 = 978/x
3. Step 3: Cross multiply
   456x = 978 × 978
4. Step 4: Simplify right side
   456x = 956,484
5. Step 5: Solve for x
   x = 956,484/456
6. Step 6: Final answer
   x = 2,097.55