Finding the Third Proportional to 541,105 and 856,780

Step by Step Solution

1. Step 1: Write the proportion equation
   541,105 : 856,780 = 856,780 : x
2. Step 2: Convert to fraction form
   541,105/856,780 = 856,780/x
3. Step 3: Cross multiply
   541,105x = 856,780 × 856,780
4. Step 4: Simplify right side
   541,105x = 734,071,968,400
5. Step 5: Solve for x
   x = 734,071,968,400/541,105
6. Step 6: Final answer
   x = 1,356,616.49