Finding the Third Proportional to 777,819 and 1,688,424

Step by Step Solution

1. Step 1: Write the proportion equation
   777,819 : 1,688,424 = 1,688,424 : x
2. Step 2: Convert to fraction form
   777,819/1,688,424 = 1,688,424/x
3. Step 3: Cross multiply
   777,819x = 1,688,424 × 1,688,424
4. Step 4: Simplify right side
   777,819x = 2,850,775,603,776
5. Step 5: Solve for x
   x = 2,850,775,603,776/777,819
6. Step 6: Final answer
   x = 3,665,088.67