Finding the Third Proportional to 785,160 and 1,694,664

Step by Step Solution

1. Step 1: Write the proportion equation
   785,160 : 1,694,664 = 1,694,664 : x
2. Step 2: Convert to fraction form
   785,160/1,694,664 = 1,694,664/x
3. Step 3: Cross multiply
   785,160x = 1,694,664 × 1,694,664
4. Step 4: Simplify right side
   785,160x = 2,871,886,072,896
5. Step 5: Solve for x
   x = 2,871,886,072,896/785,160
6. Step 6: Final answer
   x = 3,657,708.08