Finding the Third Proportional to 829,150 and 1,757,941

Step by Step Solution

1. Step 1: Write the proportion equation
   829,150 : 1,757,941 = 1,757,941 : x
2. Step 2: Convert to fraction form
   829,150/1,757,941 = 1,757,941/x
3. Step 3: Cross multiply
   829,150x = 1,757,941 × 1,757,941
4. Step 4: Simplify right side
   829,150x = 3,090,356,559,481
5. Step 5: Solve for x
   x = 3,090,356,559,481/829,150
6. Step 6: Final answer
   x = 3,727,138.10