Finding the Third Proportional to 463.69 and 978.94

Step by Step Solution

1. Step 1: Write the proportion equation
   463.69 : 978.94 = 978.94 : x
2. Step 2: Convert to fraction form
   463.69/978.94 = 978.94/x
3. Step 3: Cross multiply
   463.69x = 978.94 × 978.94
4. Step 4: Simplify right side
   463.69x = 958,318.63
5. Step 5: Solve for x
   x = 958,318.63/463.69
6. Step 6: Final answer
   x = 2,066.73