Finding the Third Proportional to 1,214,406 and 1,782,234

Step by Step Solution

1. Step 1: Write the proportion equation
   1,214,406 : 1,782,234 = 1,782,234 : x
2. Step 2: Convert to fraction form
   1,214,406/1,782,234 = 1,782,234/x
3. Step 3: Cross multiply
   1,214,406x = 1,782,234 × 1,782,234
4. Step 4: Simplify right side
   1,214,406x = 3,176,358,030,756
5. Step 5: Solve for x
   x = 3,176,358,030,756/1,214,406
6. Step 6: Final answer
   x = 2,615,565.17