Finding the Third Proportional to 978.17 and 1,459.42

Step by Step Solution

1. Step 1: Write the proportion equation
   978.17 : 1,459.42 = 1,459.42 : x
2. Step 2: Convert to fraction form
   978.17/1,459.42 = 1,459.42/x
3. Step 3: Cross multiply
   978.17x = 1,459.42 × 1,459.42
4. Step 4: Simplify right side
   978.17x = 2,129,917.91
5. Step 5: Solve for x
   x = 2,129,917.91/978.17
6. Step 6: Final answer
   x = 2,177.45