Finding the Third Proportional to 705.19 and 1,096.82

Step by Step Solution

1. Step 1: Write the proportion equation
   705.19 : 1,096.82 = 1,096.82 : x
2. Step 2: Convert to fraction form
   705.19/1,096.82 = 1,096.82/x
3. Step 3: Cross multiply
   705.19x = 1,096.82 × 1,096.82
4. Step 4: Simplify right side
   705.19x = 1,203,019.08
5. Step 5: Solve for x
   x = 1,203,019.08/705.19
6. Step 6: Final answer
   x = 1,705.95