Finding the Third Proportional to 705,784 and 1,538,456

Step by Step Solution

1. Step 1: Write the proportion equation
   705,784 : 1,538,456 = 1,538,456 : x
2. Step 2: Convert to fraction form
   705,784/1,538,456 = 1,538,456/x
3. Step 3: Cross multiply
   705,784x = 1,538,456 × 1,538,456
4. Step 4: Simplify right side
   705,784x = 2,366,846,863,936
5. Step 5: Solve for x
   x = 2,366,846,863,936/705,784
6. Step 6: Final answer
   x = 3,353,500.31