Finding the Third Proportional to 1,217,264 and 1,780,824

Step by Step Solution

1. Step 1: Write the proportion equation
   1,217,264 : 1,780,824 = 1,780,824 : x
2. Step 2: Convert to fraction form
   1,217,264/1,780,824 = 1,780,824/x
3. Step 3: Cross multiply
   1,217,264x = 1,780,824 × 1,780,824
4. Step 4: Simplify right side
   1,217,264x = 3,171,334,118,976
5. Step 5: Solve for x
   x = 3,171,334,118,976/1,217,264
6. Step 6: Final answer
   x = 2,605,296.89