Finding the Third Proportional to 829,144 and 1,757,929

Step by Step Solution

1. Step 1: Write the proportion equation
   829,144 : 1,757,929 = 1,757,929 : x
2. Step 2: Convert to fraction form
   829,144/1,757,929 = 1,757,929/x
3. Step 3: Cross multiply
   829,144x = 1,757,929 × 1,757,929
4. Step 4: Simplify right side
   829,144x = 3,090,314,369,041
5. Step 5: Solve for x
   x = 3,090,314,369,041/829,144
6. Step 6: Final answer
   x = 3,727,114.19