Finding the Third Proportional to 514,614 and 1,107,564

Step by Step Solution

1. Step 1: Write the proportion equation
   514,614 : 1,107,564 = 1,107,564 : x
2. Step 2: Convert to fraction form
   514,614/1,107,564 = 1,107,564/x
3. Step 3: Cross multiply
   514,614x = 1,107,564 × 1,107,564
4. Step 4: Simplify right side
   514,614x = 1,226,698,014,096
5. Step 5: Solve for x
   x = 1,226,698,014,096/514,614
6. Step 6: Final answer
   x = 2,383,724.53