Finding the Third Proportional to 706.69 and 801.56

Step by Step Solution

1. Step 1: Write the proportion equation
   706.69 : 801.56 = 801.56 : x
2. Step 2: Convert to fraction form
   706.69/801.56 = 801.56/x
3. Step 3: Cross multiply
   706.69x = 801.56 × 801.56
4. Step 4: Simplify right side
   706.69x = 642,502.44
5. Step 5: Solve for x
   x = 642,502.44/706.69
6. Step 6: Final answer
   x = 909.17