Finding the Third Proportional to 785,414 and 1,694,380

Step by Step Solution

1. Step 1: Write the proportion equation
   785,414 : 1,694,380 = 1,694,380 : x
2. Step 2: Convert to fraction form
   785,414/1,694,380 = 1,694,380/x
3. Step 3: Cross multiply
   785,414x = 1,694,380 × 1,694,380
4. Step 4: Simplify right side
   785,414x = 2,870,923,584,400
5. Step 5: Solve for x
   x = 2,870,923,584,400/785,414
6. Step 6: Final answer
   x = 3,655,299.73