Finding the Third Proportional to 827,010 and 1,780,735

Step by Step Solution

1. Step 1: Write the proportion equation
   827,010 : 1,780,735 = 1,780,735 : x
2. Step 2: Convert to fraction form
   827,010/1,780,735 = 1,780,735/x
3. Step 3: Cross multiply
   827,010x = 1,780,735 × 1,780,735
4. Step 4: Simplify right side
   827,010x = 3,171,017,140,225
5. Step 5: Solve for x
   x = 3,171,017,140,225/827,010
6. Step 6: Final answer
   x = 3,834,315.35