Finding the Third Proportional to 569,780 and 1,215,823

Step by Step Solution

1. Step 1: Write the proportion equation
   569,780 : 1,215,823 = 1,215,823 : x
2. Step 2: Convert to fraction form
   569,780/1,215,823 = 1,215,823/x
3. Step 3: Cross multiply
   569,780x = 1,215,823 × 1,215,823
4. Step 4: Simplify right side
   569,780x = 1,478,225,567,329
5. Step 5: Solve for x
   x = 1,478,225,567,329/569,780
6. Step 6: Final answer
   x = 2,594,379.53