Finding the Third Proportional to 653.54 and 978.17

Step by Step Solution

1. Step 1: Write the proportion equation
   653.54 : 978.17 = 978.17 : x
2. Step 2: Convert to fraction form
   653.54/978.17 = 978.17/x
3. Step 3: Cross multiply
   653.54x = 978.17 × 978.17
4. Step 4: Simplify right side
   653.54x = 956,816.40
5. Step 5: Solve for x
   x = 956,816.40/653.54
6. Step 6: Final answer
   x = 1,464.06