Finding the Third Proportional to 834.61 and 1,192.71

Step by Step Solution

1. Step 1: Write the proportion equation
   834.61 : 1,192.71 = 1,192.71 : x
2. Step 2: Convert to fraction form
   834.61/1,192.71 = 1,192.71/x
3. Step 3: Cross multiply
   834.61x = 1,192.71 × 1,192.71
4. Step 4: Simplify right side
   834.61x = 1,422,559.38
5. Step 5: Solve for x
   x = 1,422,559.38/834.61
6. Step 6: Final answer
   x = 1,704.46