Finding the Third Proportional to 829,128 and 1,757,897

Step by Step Solution

1. Step 1: Write the proportion equation
   829,128 : 1,757,897 = 1,757,897 : x
2. Step 2: Convert to fraction form
   829,128/1,757,897 = 1,757,897/x
3. Step 3: Cross multiply
   829,128x = 1,757,897 × 1,757,897
4. Step 4: Simplify right side
   829,128x = 3,090,201,862,609
5. Step 5: Solve for x
   x = 3,090,201,862,609/829,128
6. Step 6: Final answer
   x = 3,727,050.42