Finding the Third Proportional to 769,770 and 1,688,256

Step by Step Solution

1. Step 1: Write the proportion equation
   769,770 : 1,688,256 = 1,688,256 : x
2. Step 2: Convert to fraction form
   769,770/1,688,256 = 1,688,256/x
3. Step 3: Cross multiply
   769,770x = 1,688,256 × 1,688,256
4. Step 4: Simplify right side
   769,770x = 2,850,208,321,536
5. Step 5: Solve for x
   x = 2,850,208,321,536/769,770
6. Step 6: Final answer
   x = 3,702,675.24