Finding the Third Proportional to 180.35 and 379.69

Step by Step Solution

1. Step 1: Write the proportion equation
   180.35 : 379.69 = 379.69 : x
2. Step 2: Convert to fraction form
   180.35/379.69 = 379.69/x
3. Step 3: Cross multiply
   180.35x = 379.69 × 379.69
4. Step 4: Simplify right side
   180.35x = 144,162.60
5. Step 5: Solve for x
   x = 144,162.60/180.35
6. Step 6: Final answer
   x = 799.34