Finding the Third Proportional to 829,102 and 1,757,846

Step by Step Solution

1. Step 1: Write the proportion equation
   829,102 : 1,757,846 = 1,757,846 : x
2. Step 2: Convert to fraction form
   829,102/1,757,846 = 1,757,846/x
3. Step 3: Cross multiply
   829,102x = 1,757,846 × 1,757,846
4. Step 4: Simplify right side
   829,102x = 3,090,022,559,716
5. Step 5: Solve for x
   x = 3,090,022,559,716/829,102
6. Step 6: Final answer
   x = 3,726,951.04