Finding the Third Proportional to 829,140 and 1,757,922

Step by Step Solution

1. Step 1: Write the proportion equation
   829,140 : 1,757,922 = 1,757,922 : x
2. Step 2: Convert to fraction form
   829,140/1,757,922 = 1,757,922/x
3. Step 3: Cross multiply
   829,140x = 1,757,922 × 1,757,922
4. Step 4: Simplify right side
   829,140x = 3,090,289,758,084
5. Step 5: Solve for x
   x = 3,090,289,758,084/829,140
6. Step 6: Final answer
   x = 3,727,102.49