Finding the Third Proportional to 785,664 and 1,695,648

Step by Step Solution

1. Step 1: Write the proportion equation
   785,664 : 1,695,648 = 1,695,648 : x
2. Step 2: Convert to fraction form
   785,664/1,695,648 = 1,695,648/x
3. Step 3: Cross multiply
   785,664x = 1,695,648 × 1,695,648
4. Step 4: Simplify right side
   785,664x = 2,875,222,139,904
5. Step 5: Solve for x
   x = 2,875,222,139,904/785,664
6. Step 6: Final answer
   x = 3,659,607.85