Finding the Third Proportional to 829,136 and 1,757,914

Step by Step Solution

1. Step 1: Write the proportion equation
   829,136 : 1,757,914 = 1,757,914 : x
2. Step 2: Convert to fraction form
   829,136/1,757,914 = 1,757,914/x
3. Step 3: Cross multiply
   829,136x = 1,757,914 × 1,757,914
4. Step 4: Simplify right side
   829,136x = 3,090,261,631,396
5. Step 5: Solve for x
   x = 3,090,261,631,396/829,136
6. Step 6: Final answer
   x = 3,727,086.55