Finding the Third Proportional to 706.22 and 952.59

Step by Step Solution

1. Step 1: Write the proportion equation
   706.22 : 952.59 = 952.59 : x
2. Step 2: Convert to fraction form
   706.22/952.59 = 952.59/x
3. Step 3: Cross multiply
   706.22x = 952.59 × 952.59
4. Step 4: Simplify right side
   706.22x = 907,434.85
5. Step 5: Solve for x
   x = 907,434.85/706.22
6. Step 6: Final answer
   x = 1,284.92