Finding the Third Proportional to 500,678 and 1,042,780

Step by Step Solution

1. Step 1: Write the proportion equation
   500,678 : 1,042,780 = 1,042,780 : x
2. Step 2: Convert to fraction form
   500,678/1,042,780 = 1,042,780/x
3. Step 3: Cross multiply
   500,678x = 1,042,780 × 1,042,780
4. Step 4: Simplify right side
   500,678x = 1,087,390,128,400
5. Step 5: Solve for x
   x = 1,087,390,128,400/500,678
6. Step 6: Final answer
   x = 2,171,835.25