Finding the Third Proportional to 778,301 and 1,689,462

Step by Step Solution

1. Step 1: Write the proportion equation
   778,301 : 1,689,462 = 1,689,462 : x
2. Step 2: Convert to fraction form
   778,301/1,689,462 = 1,689,462/x
3. Step 3: Cross multiply
   778,301x = 1,689,462 × 1,689,462
4. Step 4: Simplify right side
   778,301x = 2,854,281,849,444
5. Step 5: Solve for x
   x = 2,854,281,849,444/778,301
6. Step 6: Final answer
   x = 3,667,323.89