Finding the Third Proportional to 298.27 and 653.48

Step by Step Solution

1. Step 1: Write the proportion equation
   298.27 : 653.48 = 653.48 : x
2. Step 2: Convert to fraction form
   298.27/653.48 = 653.48/x
3. Step 3: Cross multiply
   298.27x = 653.48 × 653.48
4. Step 4: Simplify right side
   298.27x = 427,041.83
5. Step 5: Solve for x
   x = 427,041.83/298.27
6. Step 6: Final answer
   x = 1,431.75