Finding the Third Proportional to 1,082,178 and 1,682,211

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,178 : 1,682,211 = 1,682,211 : x
2. Step 2: Convert to fraction form
   1,082,178/1,682,211 = 1,682,211/x
3. Step 3: Cross multiply
   1,082,178x = 1,682,211 × 1,682,211
4. Step 4: Simplify right side
   1,082,178x = 2,829,833,848,521
5. Step 5: Solve for x
   x = 2,829,833,848,521/1,082,178
6. Step 6: Final answer
   x = 2,614,943.06