Finding the Third Proportional to 829,180 and 1,758,005

Step by Step Solution

1. Step 1: Write the proportion equation
   829,180 : 1,758,005 = 1,758,005 : x
2. Step 2: Convert to fraction form
   829,180/1,758,005 = 1,758,005/x
3. Step 3: Cross multiply
   829,180x = 1,758,005 × 1,758,005
4. Step 4: Simplify right side
   829,180x = 3,090,581,580,025
5. Step 5: Solve for x
   x = 3,090,581,580,025/829,180
6. Step 6: Final answer
   x = 3,727,274.63