Finding the Third Proportional to 168.19 and 360.56

Step by Step Solution

1. Step 1: Write the proportion equation
   168.19 : 360.56 = 360.56 : x
2. Step 2: Convert to fraction form
   168.19/360.56 = 360.56/x
3. Step 3: Cross multiply
   168.19x = 360.56 × 360.56
4. Step 4: Simplify right side
   168.19x = 130,005.32
5. Step 5: Solve for x
   x = 130,005.32/168.19
6. Step 6: Final answer
   x = 772.98