Finding the Third Proportional to 829,101 and 1,757,844

Step by Step Solution

1. Step 1: Write the proportion equation
   829,101 : 1,757,844 = 1,757,844 : x
2. Step 2: Convert to fraction form
   829,101/1,757,844 = 1,757,844/x
3. Step 3: Cross multiply
   829,101x = 1,757,844 × 1,757,844
4. Step 4: Simplify right side
   829,101x = 3,090,015,528,336
5. Step 5: Solve for x
   x = 3,090,015,528,336/829,101
6. Step 6: Final answer
   x = 3,726,947.05