Finding the Third Proportional to 1,735,816 and 3,658,256

Step by Step Solution

1. Step 1: Write the proportion equation
   1,735,816 : 3,658,256 = 3,658,256 : x
2. Step 2: Convert to fraction form
   1,735,816/3,658,256 = 3,658,256/x
3. Step 3: Cross multiply
   1,735,816x = 3,658,256 × 3,658,256
4. Step 4: Simplify right side
   1,735,816x = 13,382,836,961,536
5. Step 5: Solve for x
   x = 13,382,836,961,536/1,735,816
6. Step 6: Final answer
   x = 7,709,824.64