Finding the Third Proportional to 840.94 and 1,196.72

Step by Step Solution

1. Step 1: Write the proportion equation
   840.94 : 1,196.72 = 1,196.72 : x
2. Step 2: Convert to fraction form
   840.94/1,196.72 = 1,196.72/x
3. Step 3: Cross multiply
   840.94x = 1,196.72 × 1,196.72
4. Step 4: Simplify right side
   840.94x = 1,432,135.77
5. Step 5: Solve for x
   x = 1,432,135.77/840.94
6. Step 6: Final answer
   x = 1,703.02