Finding the Third Proportional to 153.14 and 298.37

Step by Step Solution

1. Step 1: Write the proportion equation
   153.14 : 298.37 = 298.37 : x
2. Step 2: Convert to fraction form
   153.14/298.37 = 298.37/x
3. Step 3: Cross multiply
   153.14x = 298.37 × 298.37
4. Step 4: Simplify right side
   153.14x = 89,025.31
5. Step 5: Solve for x
   x = 89,025.31/153.14
6. Step 6: Final answer
   x = 581.33