Finding the Third Proportional to 145.83 and 335.67

Step by Step Solution

1. Step 1: Write the proportion equation
   145.83 : 335.67 = 335.67 : x
2. Step 2: Convert to fraction form
   145.83/335.67 = 335.67/x
3. Step 3: Cross multiply
   145.83x = 335.67 × 335.67
4. Step 4: Simplify right side
   145.83x = 112,675.61
5. Step 5: Solve for x
   x = 112,675.61/145.83
6. Step 6: Final answer
   x = 772.66