Finding the Third Proportional to 592.88 and 834.56

Step by Step Solution

1. Step 1: Write the proportion equation
   592.88 : 834.56 = 834.56 : x
2. Step 2: Convert to fraction form
   592.88/834.56 = 834.56/x
3. Step 3: Cross multiply
   592.88x = 834.56 × 834.56
4. Step 4: Simplify right side
   592.88x = 696,494.57
5. Step 5: Solve for x
   x = 696,494.57/592.88
6. Step 6: Final answer
   x = 1,174.77