Finding the Third Proportional to 298.69 and 653.06

Step by Step Solution

1. Step 1: Write the proportion equation
   298.69 : 653.06 = 653.06 : x
2. Step 2: Convert to fraction form
   298.69/653.06 = 653.06/x
3. Step 3: Cross multiply
   298.69x = 653.06 × 653.06
4. Step 4: Simplify right side
   298.69x = 426,490.63
5. Step 5: Solve for x
   x = 426,490.63/298.69
6. Step 6: Final answer
   x = 1,427.88