Finding the Third Proportional to 153.12 and 333.77

Step by Step Solution

1. Step 1: Write the proportion equation
   153.12 : 333.77 = 333.77 : x
2. Step 2: Convert to fraction form
   153.12/333.77 = 333.77/x
3. Step 3: Cross multiply
   153.12x = 333.77 × 333.77
4. Step 4: Simplify right side
   153.12x = 111,404.71
5. Step 5: Solve for x
   x = 111,404.71/153.12
6. Step 6: Final answer
   x = 727.58