Finding the Third Proportional to 785,164 and 1,694,672

Step by Step Solution

1. Step 1: Write the proportion equation
   785,164 : 1,694,672 = 1,694,672 : x
2. Step 2: Convert to fraction form
   785,164/1,694,672 = 1,694,672/x
3. Step 3: Cross multiply
   785,164x = 1,694,672 × 1,694,672
4. Step 4: Simplify right side
   785,164x = 2,871,913,187,584
5. Step 5: Solve for x
   x = 2,871,913,187,584/785,164
6. Step 6: Final answer
   x = 3,657,723.98