Finding the Third Proportional to 153.77 and 333.18

Step by Step Solution

1. Step 1: Write the proportion equation
   153.77 : 333.18 = 333.18 : x
2. Step 2: Convert to fraction form
   153.77/333.18 = 333.18/x
3. Step 3: Cross multiply
   153.77x = 333.18 × 333.18
4. Step 4: Simplify right side
   153.77x = 111,006.10
5. Step 5: Solve for x
   x = 111,006.10/153.77
6. Step 6: Final answer
   x = 721.88