Finding the Third Proportional to 780,240 and 1,686,108

Step by Step Solution

1. Step 1: Write the proportion equation
   780,240 : 1,686,108 = 1,686,108 : x
2. Step 2: Convert to fraction form
   780,240/1,686,108 = 1,686,108/x
3. Step 3: Cross multiply
   780,240x = 1,686,108 × 1,686,108
4. Step 4: Simplify right side
   780,240x = 2,842,960,187,664
5. Step 5: Solve for x
   x = 2,842,960,187,664/780,240
6. Step 6: Final answer
   x = 3,643,699.62