Finding the Third Proportional to 453.52 and 678.52

Step by Step Solution

1. Step 1: Write the proportion equation
   453.52 : 678.52 = 678.52 : x
2. Step 2: Convert to fraction form
   453.52/678.52 = 678.52/x
3. Step 3: Cross multiply
   453.52x = 678.52 × 678.52
4. Step 4: Simplify right side
   453.52x = 460,383.45
5. Step 5: Solve for x
   x = 460,383.45/453.52
6. Step 6: Final answer
   x = 1,015.14