Finding the Third Proportional to 785,416 and 1,694,384

Step by Step Solution

1. Step 1: Write the proportion equation
   785,416 : 1,694,384 = 1,694,384 : x
2. Step 2: Convert to fraction form
   785,416/1,694,384 = 1,694,384/x
3. Step 3: Cross multiply
   785,416x = 1,694,384 × 1,694,384
4. Step 4: Simplify right side
   785,416x = 2,870,937,139,456
5. Step 5: Solve for x
   x = 2,870,937,139,456/785,416
6. Step 6: Final answer
   x = 3,655,307.68