Finding the Third Proportional to 175.69 and 360.75

Step by Step Solution

1. Step 1: Write the proportion equation
   175.69 : 360.75 = 360.75 : x
2. Step 2: Convert to fraction form
   175.69/360.75 = 360.75/x
3. Step 3: Cross multiply
   175.69x = 360.75 × 360.75
4. Step 4: Simplify right side
   175.69x = 130,140.56
5. Step 5: Solve for x
   x = 130,140.56/175.69
6. Step 6: Final answer
   x = 740.75